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Finding the Fourth Proportional to 24,734.46, 37,101.70 and 7,205.66

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Solution

The fourth proportional to 24,734.46, 37,101.70 and 7,205.66 is: 10,808.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.46 : 37,101.70 = 7,205.66 : x
  2. Step 2: Convert to fraction form
    24,734.46/37,101.70 = 7,205.66/x
  3. Step 3: Cross multiply
    24,734.46x = 37,101.70 × 7,205.66
  4. Step 4: Simplify right side
    24,734.46x = 267,342,235.62
  5. Step 5: Solve for x
    x = 267,342,235.62/24,734.46
  6. Step 6: Final answer
    x = 10,808.49

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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.