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Finding the Fourth Proportional to 16,115.81, 24,159.96 and 6,114.96

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Solution

The fourth proportional to 16,115.81, 24,159.96 and 6,114.96 is: 9,167.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,115.81 : 24,159.96 = 6,114.96 : x
  2. Step 2: Convert to fraction form
    16,115.81/24,159.96 = 6,114.96/x
  3. Step 3: Cross multiply
    16,115.81x = 24,159.96 × 6,114.96
  4. Step 4: Simplify right side
    16,115.81x = 147,737,189.00
  5. Step 5: Solve for x
    x = 147,737,189.00/16,115.81
  6. Step 6: Final answer
    x = 9,167.22

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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.