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Finding the Fourth Proportional to 24,008, 33,130.92 and 13,397

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Solution

The fourth proportional to 24,008, 33,130.92 and 13,397 is: 18,487.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,008 : 33,130.92 = 13,397 : x
  2. Step 2: Convert to fraction form
    24,008/33,130.92 = 13,397/x
  3. Step 3: Cross multiply
    24,008x = 33,130.92 × 13,397
  4. Step 4: Simplify right side
    24,008x = 443,854,935.24
  5. Step 5: Solve for x
    x = 443,854,935.24/24,008
  6. Step 6: Final answer
    x = 18,487.79

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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.