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Finding the Fourth Proportional to 13,171.76, 18,176.76 and 7,866.56

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Solution

The fourth proportional to 13,171.76, 18,176.76 and 7,866.56 is: 10,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,171.76 : 18,176.76 = 7,866.56 : x
  2. Step 2: Convert to fraction form
    13,171.76/18,176.76 = 7,866.56/x
  3. Step 3: Cross multiply
    13,171.76x = 18,176.76 × 7,866.56
  4. Step 4: Simplify right side
    13,171.76x = 142,988,573.15
  5. Step 5: Solve for x
    x = 142,988,573.15/13,171.76
  6. Step 6: Final answer
    x = 10,855.69

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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.