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Finding the Fourth Proportional to 14,909, 22,365.66 and 4,520.76

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Solution

The fourth proportional to 14,909, 22,365.66 and 4,520.76 is: 6,781.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,909 : 22,365.66 = 4,520.76 : x
  2. Step 2: Convert to fraction form
    14,909/22,365.66 = 4,520.76/x
  3. Step 3: Cross multiply
    14,909x = 22,365.66 × 4,520.76
  4. Step 4: Simplify right side
    14,909x = 101,109,781.10
  5. Step 5: Solve for x
    x = 101,109,781.10/14,909
  6. Step 6: Final answer
    x = 6,781.79

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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.