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Finding the Fourth Proportional to 27,760.62, 41,633.10 and 9,988.68

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Solution

The fourth proportional to 27,760.62, 41,633.10 and 9,988.68 is: 14,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760.62 : 41,633.10 = 9,988.68 : x
  2. Step 2: Convert to fraction form
    27,760.62/41,633.10 = 9,988.68/x
  3. Step 3: Cross multiply
    27,760.62x = 41,633.10 × 9,988.68
  4. Step 4: Simplify right side
    27,760.62x = 415,859,713.31
  5. Step 5: Solve for x
    x = 415,859,713.31/27,760.62
  6. Step 6: Final answer
    x = 14,980.20

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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.