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Finding the Fourth Proportional to 18,517.32, 27,741.08 and 9,146.36

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Solution

The fourth proportional to 18,517.32, 27,741.08 and 9,146.36 is: 13,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,517.32 : 27,741.08 = 9,146.36 : x
  2. Step 2: Convert to fraction form
    18,517.32/27,741.08 = 9,146.36/x
  3. Step 3: Cross multiply
    18,517.32x = 27,741.08 × 9,146.36
  4. Step 4: Simplify right side
    18,517.32x = 253,729,904.47
  5. Step 5: Solve for x
    x = 253,729,904.47/18,517.32
  6. Step 6: Final answer
    x = 13,702.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.