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Finding the Fourth Proportional to 13,146.14, 18,141.18 and 7,177.76

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Solution

The fourth proportional to 13,146.14, 18,141.18 and 7,177.76 is: 9,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.14 : 18,141.18 = 7,177.76 : x
  2. Step 2: Convert to fraction form
    13,146.14/18,141.18 = 7,177.76/x
  3. Step 3: Cross multiply
    13,146.14x = 18,141.18 × 7,177.76
  4. Step 4: Simplify right side
    13,146.14x = 130,213,036.16
  5. Step 5: Solve for x
    x = 130,213,036.16/13,146.14
  6. Step 6: Final answer
    x = 9,905.04

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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.