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Finding the Fourth Proportional to 13,117.71, 18,102.75 and 7,149.36

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Solution

The fourth proportional to 13,117.71, 18,102.75 and 7,149.36 is: 9,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.71 : 18,102.75 = 7,149.36 : x
  2. Step 2: Convert to fraction form
    13,117.71/18,102.75 = 7,149.36/x
  3. Step 3: Cross multiply
    13,117.71x = 18,102.75 × 7,149.36
  4. Step 4: Simplify right side
    13,117.71x = 129,423,076.74
  5. Step 5: Solve for x
    x = 129,423,076.74/13,117.71
  6. Step 6: Final answer
    x = 9,866.29

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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.