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Finding the Fourth Proportional to 24,149.08, 36,226.56 and 7,510

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Solution

The fourth proportional to 24,149.08, 36,226.56 and 7,510 is: 11,265.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,149.08 : 36,226.56 = 7,510 : x
  2. Step 2: Convert to fraction form
    24,149.08/36,226.56 = 7,510/x
  3. Step 3: Cross multiply
    24,149.08x = 36,226.56 × 7,510
  4. Step 4: Simplify right side
    24,149.08x = 272,061,465.60
  5. Step 5: Solve for x
    x = 272,061,465.60/24,149.08
  6. Step 6: Final answer
    x = 11,265.91

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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.