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Finding the Fourth Proportional to 18,149.48, 27,204.78 and 6,458.84

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Solution

The fourth proportional to 18,149.48, 27,204.78 and 6,458.84 is: 9,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,149.48 : 27,204.78 = 6,458.84 : x
  2. Step 2: Convert to fraction form
    18,149.48/27,204.78 = 6,458.84/x
  3. Step 3: Cross multiply
    18,149.48x = 27,204.78 × 6,458.84
  4. Step 4: Simplify right side
    18,149.48x = 175,711,321.26
  5. Step 5: Solve for x
    x = 175,711,321.26/18,149.48
  6. Step 6: Final answer
    x = 9,681.34

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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.