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Finding the Fourth Proportional to 13,117.42, 18,102.05 and 7,149.09

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Solution

The fourth proportional to 13,117.42, 18,102.05 and 7,149.09 is: 9,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.42 : 18,102.05 = 7,149.09 : x
  2. Step 2: Convert to fraction form
    13,117.42/18,102.05 = 7,149.09/x
  3. Step 3: Cross multiply
    13,117.42x = 18,102.05 × 7,149.09
  4. Step 4: Simplify right side
    13,117.42x = 129,413,184.63
  5. Step 5: Solve for x
    x = 129,413,184.63/13,117.42
  6. Step 6: Final answer
    x = 9,865.75

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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.