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Finding the Fourth Proportional to 16,229.64, 24,349.43 and 7,908.47

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Solution

The fourth proportional to 16,229.64, 24,349.43 and 7,908.47 is: 11,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.64 : 24,349.43 = 7,908.47 : x
  2. Step 2: Convert to fraction form
    16,229.64/24,349.43 = 7,908.47/x
  3. Step 3: Cross multiply
    16,229.64x = 24,349.43 × 7,908.47
  4. Step 4: Simplify right side
    16,229.64x = 192,566,726.01
  5. Step 5: Solve for x
    x = 192,566,726.01/16,229.64
  6. Step 6: Final answer
    x = 11,865.12

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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.