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Finding the Fourth Proportional to 24,765.12, 37,147.71 and 7,234.95

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Solution

The fourth proportional to 24,765.12, 37,147.71 and 7,234.95 is: 10,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,765.12 : 37,147.71 = 7,234.95 : x
  2. Step 2: Convert to fraction form
    24,765.12/37,147.71 = 7,234.95/x
  3. Step 3: Cross multiply
    24,765.12x = 37,147.71 × 7,234.95
  4. Step 4: Simplify right side
    24,765.12x = 268,761,677.47
  5. Step 5: Solve for x
    x = 268,761,677.47/24,765.12
  6. Step 6: Final answer
    x = 10,852.43

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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.