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Finding the Fourth Proportional to 24,132.67, 36,213.57 and 10,281.67

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Solution

The fourth proportional to 24,132.67, 36,213.57 and 10,281.67 is: 15,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,132.67 : 36,213.57 = 10,281.67 : x
  2. Step 2: Convert to fraction form
    24,132.67/36,213.57 = 10,281.67/x
  3. Step 3: Cross multiply
    24,132.67x = 36,213.57 × 10,281.67
  4. Step 4: Simplify right side
    24,132.67x = 372,335,885.73
  5. Step 5: Solve for x
    x = 372,335,885.73/24,132.67
  6. Step 6: Final answer
    x = 15,428.71

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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.