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Finding the Fourth Proportional to 15,498.47, 23,234.78 and 7,184.43

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Solution

The fourth proportional to 15,498.47, 23,234.78 and 7,184.43 is: 10,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.47 : 23,234.78 = 7,184.43 : x
  2. Step 2: Convert to fraction form
    15,498.47/23,234.78 = 7,184.43/x
  3. Step 3: Cross multiply
    15,498.47x = 23,234.78 × 7,184.43
  4. Step 4: Simplify right side
    15,498.47x = 166,928,614.55
  5. Step 5: Solve for x
    x = 166,928,614.55/15,498.47
  6. Step 6: Final answer
    x = 10,770.65

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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.