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Finding the Fourth Proportional to 36,177.84, 54,265.09 and 9,882.51

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Solution

The fourth proportional to 36,177.84, 54,265.09 and 9,882.51 is: 14,823.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,177.84 : 54,265.09 = 9,882.51 : x
  2. Step 2: Convert to fraction form
    36,177.84/54,265.09 = 9,882.51/x
  3. Step 3: Cross multiply
    36,177.84x = 54,265.09 × 9,882.51
  4. Step 4: Simplify right side
    36,177.84x = 536,275,084.91
  5. Step 5: Solve for x
    x = 536,275,084.91/36,177.84
  6. Step 6: Final answer
    x = 14,823.30

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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.