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Finding the Fourth Proportional to 13,470.38, 18,590.14 and 7,806.66

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Solution

The fourth proportional to 13,470.38, 18,590.14 and 7,806.66 is: 10,773.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.38 : 18,590.14 = 7,806.66 : x
  2. Step 2: Convert to fraction form
    13,470.38/18,590.14 = 7,806.66/x
  3. Step 3: Cross multiply
    13,470.38x = 18,590.14 × 7,806.66
  4. Step 4: Simplify right side
    13,470.38x = 145,126,902.33
  5. Step 5: Solve for x
    x = 145,126,902.33/13,470.38
  6. Step 6: Final answer
    x = 10,773.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.