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Finding the Fourth Proportional to 15,705.63, 21,671.01 and 9,418.14

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Solution

The fourth proportional to 15,705.63, 21,671.01 and 9,418.14 is: 12,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,705.63 : 21,671.01 = 9,418.14 : x
  2. Step 2: Convert to fraction form
    15,705.63/21,671.01 = 9,418.14/x
  3. Step 3: Cross multiply
    15,705.63x = 21,671.01 × 9,418.14
  4. Step 4: Simplify right side
    15,705.63x = 204,100,606.12
  5. Step 5: Solve for x
    x = 204,100,606.12/15,705.63
  6. Step 6: Final answer
    x = 12,995.38

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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.