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Finding the Fourth Proportional to 24,332.46, 36,495.54 and 7,694.18

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Solution

The fourth proportional to 24,332.46, 36,495.54 and 7,694.18 is: 11,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,332.46 : 36,495.54 = 7,694.18 : x
  2. Step 2: Convert to fraction form
    24,332.46/36,495.54 = 7,694.18/x
  3. Step 3: Cross multiply
    24,332.46x = 36,495.54 × 7,694.18
  4. Step 4: Simplify right side
    24,332.46x = 280,803,253.96
  5. Step 5: Solve for x
    x = 280,803,253.96/24,332.46
  6. Step 6: Final answer
    x = 11,540.27

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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.