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Finding the Fourth Proportional to 18,142.80, 27,218.07 and 6,456.02

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Solution

The fourth proportional to 18,142.80, 27,218.07 and 6,456.02 is: 9,685.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,142.80 : 27,218.07 = 6,456.02 : x
  2. Step 2: Convert to fraction form
    18,142.80/27,218.07 = 6,456.02/x
  3. Step 3: Cross multiply
    18,142.80x = 27,218.07 × 6,456.02
  4. Step 4: Simplify right side
    18,142.80x = 175,720,268.19
  5. Step 5: Solve for x
    x = 175,720,268.19/18,142.80
  6. Step 6: Final answer
    x = 9,685.40

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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.