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Finding the Fourth Proportional to 24,491.76, 36,732.06 and 6,957.24

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Solution

The fourth proportional to 24,491.76, 36,732.06 and 6,957.24 is: 10,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.76 : 36,732.06 = 6,957.24 : x
  2. Step 2: Convert to fraction form
    24,491.76/36,732.06 = 6,957.24/x
  3. Step 3: Cross multiply
    24,491.76x = 36,732.06 × 6,957.24
  4. Step 4: Simplify right side
    24,491.76x = 255,553,757.11
  5. Step 5: Solve for x
    x = 255,553,757.11/24,491.76
  6. Step 6: Final answer
    x = 10,434.27

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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.