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Finding the Fourth Proportional to 24,470.13, 36,702.85 and 7,825.68

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Solution

The fourth proportional to 24,470.13, 36,702.85 and 7,825.68 is: 11,737.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.13 : 36,702.85 = 7,825.68 : x
  2. Step 2: Convert to fraction form
    24,470.13/36,702.85 = 7,825.68/x
  3. Step 3: Cross multiply
    24,470.13x = 36,702.85 × 7,825.68
  4. Step 4: Simplify right side
    24,470.13x = 287,224,759.19
  5. Step 5: Solve for x
    x = 287,224,759.19/24,470.13
  6. Step 6: Final answer
    x = 11,737.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.