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Finding the Fourth Proportional to 24,882.96, 37,329.71 and 8,242.12

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Solution

The fourth proportional to 24,882.96, 37,329.71 and 8,242.12 is: 12,364.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.96 : 37,329.71 = 8,242.12 : x
  2. Step 2: Convert to fraction form
    24,882.96/37,329.71 = 8,242.12/x
  3. Step 3: Cross multiply
    24,882.96x = 37,329.71 × 8,242.12
  4. Step 4: Simplify right side
    24,882.96x = 307,675,949.39
  5. Step 5: Solve for x
    x = 307,675,949.39/24,882.96
  6. Step 6: Final answer
    x = 12,364.93

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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.