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Finding the Fourth Proportional to 13,146.28, 18,141.92 and 7,178.08

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Solution

The fourth proportional to 13,146.28, 18,141.92 and 7,178.08 is: 9,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.28 : 18,141.92 = 7,178.08 : x
  2. Step 2: Convert to fraction form
    13,146.28/18,141.92 = 7,178.08/x
  3. Step 3: Cross multiply
    13,146.28x = 18,141.92 × 7,178.08
  4. Step 4: Simplify right side
    13,146.28x = 130,224,153.11
  5. Step 5: Solve for x
    x = 130,224,153.11/13,146.28
  6. Step 6: Final answer
    x = 9,905.78

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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.