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Finding the Fourth Proportional to 23,847.38, 35,776.14 and 9,055.97

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Solution

The fourth proportional to 23,847.38, 35,776.14 and 9,055.97 is: 13,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,847.38 : 35,776.14 = 9,055.97 : x
  2. Step 2: Convert to fraction form
    23,847.38/35,776.14 = 9,055.97/x
  3. Step 3: Cross multiply
    23,847.38x = 35,776.14 × 9,055.97
  4. Step 4: Simplify right side
    23,847.38x = 323,987,748.28
  5. Step 5: Solve for x
    x = 323,987,748.28/23,847.38
  6. Step 6: Final answer
    x = 13,585.88

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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.