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Finding the Fourth Proportional to 16,114, 24,171 and 5,726.16

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Solution

The fourth proportional to 16,114, 24,171 and 5,726.16 is: 8,589.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114 : 24,171 = 5,726.16 : x
  2. Step 2: Convert to fraction form
    16,114/24,171 = 5,726.16/x
  3. Step 3: Cross multiply
    16,114x = 24,171 × 5,726.16
  4. Step 4: Simplify right side
    16,114x = 138,407,013.36
  5. Step 5: Solve for x
    x = 138,407,013.36/16,114
  6. Step 6: Final answer
    x = 8,589.24

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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.