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Finding the Fourth Proportional to 24,342.24, 36,491.16 and 8,538.68

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Solution

The fourth proportional to 24,342.24, 36,491.16 and 8,538.68 is: 12,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,342.24 : 36,491.16 = 8,538.68 : x
  2. Step 2: Convert to fraction form
    24,342.24/36,491.16 = 8,538.68/x
  3. Step 3: Cross multiply
    24,342.24x = 36,491.16 × 8,538.68
  4. Step 4: Simplify right side
    24,342.24x = 311,586,338.07
  5. Step 5: Solve for x
    x = 311,586,338.07/24,342.24
  6. Step 6: Final answer
    x = 12,800.23

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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.