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Finding the Fourth Proportional to 17,655.44, 24,361.80 and 10,202

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Solution

The fourth proportional to 17,655.44, 24,361.80 and 10,202 is: 14,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655.44 : 24,361.80 = 10,202 : x
  2. Step 2: Convert to fraction form
    17,655.44/24,361.80 = 10,202/x
  3. Step 3: Cross multiply
    17,655.44x = 24,361.80 × 10,202
  4. Step 4: Simplify right side
    17,655.44x = 248,539,083.60
  5. Step 5: Solve for x
    x = 248,539,083.60/17,655.44
  6. Step 6: Final answer
    x = 14,077.20

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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.