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Finding the Fourth Proportional to 13,117.76, 18,102.71 and 7,149.42

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Solution

The fourth proportional to 13,117.76, 18,102.71 and 7,149.42 is: 9,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.76 : 18,102.71 = 7,149.42 : x
  2. Step 2: Convert to fraction form
    13,117.76/18,102.71 = 7,149.42/x
  3. Step 3: Cross multiply
    13,117.76x = 18,102.71 × 7,149.42
  4. Step 4: Simplify right side
    13,117.76x = 129,423,894.80
  5. Step 5: Solve for x
    x = 129,423,894.80/13,117.76
  6. Step 6: Final answer
    x = 9,866.31

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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.