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Finding the Fourth Proportional to 18,116.40, 27,177.30 and 6,428.64

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Solution

The fourth proportional to 18,116.40, 27,177.30 and 6,428.64 is: 9,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,116.40 : 27,177.30 = 6,428.64 : x
  2. Step 2: Convert to fraction form
    18,116.40/27,177.30 = 6,428.64/x
  3. Step 3: Cross multiply
    18,116.40x = 27,177.30 × 6,428.64
  4. Step 4: Simplify right side
    18,116.40x = 174,713,077.87
  5. Step 5: Solve for x
    x = 174,713,077.87/18,116.40
  6. Step 6: Final answer
    x = 9,643.92

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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.