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Finding the Fourth Proportional to 24,532.40, 36,780.28 and 7,882.94

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Solution

The fourth proportional to 24,532.40, 36,780.28 and 7,882.94 is: 11,818.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,532.40 : 36,780.28 = 7,882.94 : x
  2. Step 2: Convert to fraction form
    24,532.40/36,780.28 = 7,882.94/x
  3. Step 3: Cross multiply
    24,532.40x = 36,780.28 × 7,882.94
  4. Step 4: Simplify right side
    24,532.40x = 289,936,740.42
  5. Step 5: Solve for x
    x = 289,936,740.42/24,532.40
  6. Step 6: Final answer
    x = 11,818.52

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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.