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Finding the Fourth Proportional to 13,117.96, 18,102.67 and 7,149.63

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Solution

The fourth proportional to 13,117.96, 18,102.67 and 7,149.63 is: 9,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.96 : 18,102.67 = 7,149.63 : x
  2. Step 2: Convert to fraction form
    13,117.96/18,102.67 = 7,149.63/x
  3. Step 3: Cross multiply
    13,117.96x = 18,102.67 × 7,149.63
  4. Step 4: Simplify right side
    13,117.96x = 129,427,380.91
  5. Step 5: Solve for x
    x = 129,427,380.91/13,117.96
  6. Step 6: Final answer
    x = 9,866.43

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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.