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Finding the Fourth Proportional to 17,442, 24,064.64 and 9,887.12

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Solution

The fourth proportional to 17,442, 24,064.64 and 9,887.12 is: 13,641.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,442 : 24,064.64 = 9,887.12 : x
  2. Step 2: Convert to fraction form
    17,442/24,064.64 = 9,887.12/x
  3. Step 3: Cross multiply
    17,442x = 24,064.64 × 9,887.12
  4. Step 4: Simplify right side
    17,442x = 237,929,983.44
  5. Step 5: Solve for x
    x = 237,929,983.44/17,442
  6. Step 6: Final answer
    x = 13,641.21

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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.