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Finding the Fourth Proportional to 24,600.24, 36,902.43 and 7,737.12

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Solution

The fourth proportional to 24,600.24, 36,902.43 and 7,737.12 is: 11,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,600.24 : 36,902.43 = 7,737.12 : x
  2. Step 2: Convert to fraction form
    24,600.24/36,902.43 = 7,737.12/x
  3. Step 3: Cross multiply
    24,600.24x = 36,902.43 × 7,737.12
  4. Step 4: Simplify right side
    24,600.24x = 285,518,529.20
  5. Step 5: Solve for x
    x = 285,518,529.20/24,600.24
  6. Step 6: Final answer
    x = 11,606.33

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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.