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Finding the Fourth Proportional to 16,462.56, 24,699.38 and 5,219.73

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Solution

The fourth proportional to 16,462.56, 24,699.38 and 5,219.73 is: 7,831.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462.56 : 24,699.38 = 5,219.73 : x
  2. Step 2: Convert to fraction form
    16,462.56/24,699.38 = 5,219.73/x
  3. Step 3: Cross multiply
    16,462.56x = 24,699.38 × 5,219.73
  4. Step 4: Simplify right side
    16,462.56x = 128,924,167.50
  5. Step 5: Solve for x
    x = 128,924,167.50/16,462.56
  6. Step 6: Final answer
    x = 7,831.36

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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.