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Finding the Fourth Proportional to 24,538.82, 36,780.62 and 10,491.80

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Solution

The fourth proportional to 24,538.82, 36,780.62 and 10,491.80 is: 15,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.82 : 36,780.62 = 10,491.80 : x
  2. Step 2: Convert to fraction form
    24,538.82/36,780.62 = 10,491.80/x
  3. Step 3: Cross multiply
    24,538.82x = 36,780.62 × 10,491.80
  4. Step 4: Simplify right side
    24,538.82x = 385,894,672.55
  5. Step 5: Solve for x
    x = 385,894,672.55/24,538.82
  6. Step 6: Final answer
    x = 15,725.89

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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.