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Finding the Fourth Proportional to 13,146.71, 18,142.20 and 7,178.43

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Solution

The fourth proportional to 13,146.71, 18,142.20 and 7,178.43 is: 9,906.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.71 : 18,142.20 = 7,178.43 : x
  2. Step 2: Convert to fraction form
    13,146.71/18,142.20 = 7,178.43/x
  3. Step 3: Cross multiply
    13,146.71x = 18,142.20 × 7,178.43
  4. Step 4: Simplify right side
    13,146.71x = 130,232,512.75
  5. Step 5: Solve for x
    x = 130,232,512.75/13,146.71
  6. Step 6: Final answer
    x = 9,906.10

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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.