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Finding the Fourth Proportional to 24,285.29, 36,428.38 and 7,645.86

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Solution

The fourth proportional to 24,285.29, 36,428.38 and 7,645.86 is: 11,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285.29 : 36,428.38 = 7,645.86 : x
  2. Step 2: Convert to fraction form
    24,285.29/36,428.38 = 7,645.86/x
  3. Step 3: Cross multiply
    24,285.29x = 36,428.38 × 7,645.86
  4. Step 4: Simplify right side
    24,285.29x = 278,526,274.39
  5. Step 5: Solve for x
    x = 278,526,274.39/24,285.29
  6. Step 6: Final answer
    x = 11,468.93

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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.