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Finding the Fourth Proportional to 15,127.83, 22,705.83 and 7,737.57

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Solution

The fourth proportional to 15,127.83, 22,705.83 and 7,737.57 is: 11,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,127.83 : 22,705.83 = 7,737.57 : x
  2. Step 2: Convert to fraction form
    15,127.83/22,705.83 = 7,737.57/x
  3. Step 3: Cross multiply
    15,127.83x = 22,705.83 × 7,737.57
  4. Step 4: Simplify right side
    15,127.83x = 175,687,949.03
  5. Step 5: Solve for x
    x = 175,687,949.03/15,127.83
  6. Step 6: Final answer
    x = 11,613.56

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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.