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Finding the Fourth Proportional to 24,313.40, 33,553.14 and 13,702.40

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Solution

The fourth proportional to 24,313.40, 33,553.14 and 13,702.40 is: 18,909.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,313.40 : 33,553.14 = 13,702.40 : x
  2. Step 2: Convert to fraction form
    24,313.40/33,553.14 = 13,702.40/x
  3. Step 3: Cross multiply
    24,313.40x = 33,553.14 × 13,702.40
  4. Step 4: Simplify right side
    24,313.40x = 459,758,545.54
  5. Step 5: Solve for x
    x = 459,758,545.54/24,313.40
  6. Step 6: Final answer
    x = 18,909.68

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