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Finding the Fourth Proportional to 13,171.76, 18,177.32 and 7,865.59

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Solution

The fourth proportional to 13,171.76, 18,177.32 and 7,865.59 is: 10,854.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.76 : 18,177.32 = 7,865.59 : x
  2. Step 2: Convert to fraction form
    13,171.76/18,177.32 = 7,865.59/x
  3. Step 3: Cross multiply
    13,171.76x = 18,177.32 × 7,865.59
  4. Step 4: Simplify right side
    13,171.76x = 142,975,346.42
  5. Step 5: Solve for x
    x = 142,975,346.42/13,171.76
  6. Step 6: Final answer
    x = 10,854.69

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