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Finding the Fourth Proportional to 17,846,598.23, 24,628,669.49 and 9,698,361.11

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Solution

The fourth proportional to 17,846,598.23, 24,628,669.49 and 9,698,361.11 is: 13,383,936.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846,598.23 : 24,628,669.49 = 9,698,361.11 : x
  2. Step 2: Convert to fraction form
    17,846,598.23/24,628,669.49 = 9,698,361.11/x
  3. Step 3: Cross multiply
    17,846,598.23x = 24,628,669.49 × 9,698,361.11
  4. Step 4: Simplify right side
    17,846,598.23x = 238,857,730,201,224.38
  5. Step 5: Solve for x
    x = 238,857,730,201,224.38/17,846,598.23
  6. Step 6: Final answer
    x = 13,383,936.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.