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Finding the Fourth Proportional to 15,691.50, 23,540.16 and 5,162.10

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Solution

The fourth proportional to 15,691.50, 23,540.16 and 5,162.10 is: 7,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.50 : 23,540.16 = 5,162.10 : x
  2. Step 2: Convert to fraction form
    15,691.50/23,540.16 = 5,162.10/x
  3. Step 3: Cross multiply
    15,691.50x = 23,540.16 × 5,162.10
  4. Step 4: Simplify right side
    15,691.50x = 121,516,659.94
  5. Step 5: Solve for x
    x = 121,516,659.94/15,691.50
  6. Step 6: Final answer
    x = 7,744.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.