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Finding the Fourth Proportional to 16,234.52, 24,353 and 5,142.08

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Solution

The fourth proportional to 16,234.52, 24,353 and 5,142.08 is: 7,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.52 : 24,353 = 5,142.08 : x
  2. Step 2: Convert to fraction form
    16,234.52/24,353 = 5,142.08/x
  3. Step 3: Cross multiply
    16,234.52x = 24,353 × 5,142.08
  4. Step 4: Simplify right side
    16,234.52x = 125,225,074.24
  5. Step 5: Solve for x
    x = 125,225,074.24/16,234.52
  6. Step 6: Final answer
    x = 7,713.51

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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.