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Finding the Fourth Proportional to 13,538.31, 18,678.02 and 8,158.47

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Solution

The fourth proportional to 13,538.31, 18,678.02 and 8,158.47 is: 11,255.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,538.31 : 18,678.02 = 8,158.47 : x
  2. Step 2: Convert to fraction form
    13,538.31/18,678.02 = 8,158.47/x
  3. Step 3: Cross multiply
    13,538.31x = 18,678.02 × 8,158.47
  4. Step 4: Simplify right side
    13,538.31x = 152,384,025.04
  5. Step 5: Solve for x
    x = 152,384,025.04/13,538.31
  6. Step 6: Final answer
    x = 11,255.76

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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.