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Finding the Fourth Proportional to 12,098.70, 18,131.40 and 9,134.58

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Solution

The fourth proportional to 12,098.70, 18,131.40 and 9,134.58 is: 13,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.70 : 18,131.40 = 9,134.58 : x
  2. Step 2: Convert to fraction form
    12,098.70/18,131.40 = 9,134.58/x
  3. Step 3: Cross multiply
    12,098.70x = 18,131.40 × 9,134.58
  4. Step 4: Simplify right side
    12,098.70x = 165,622,723.81
  5. Step 5: Solve for x
    x = 165,622,723.81/12,098.70
  6. Step 6: Final answer
    x = 13,689.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.