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Finding the Fourth Proportional to 25,589.68, 38,384.34 and 9,791.08

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Solution

The fourth proportional to 25,589.68, 38,384.34 and 9,791.08 is: 14,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,589.68 : 38,384.34 = 9,791.08 : x
  2. Step 2: Convert to fraction form
    25,589.68/38,384.34 = 9,791.08/x
  3. Step 3: Cross multiply
    25,589.68x = 38,384.34 × 9,791.08
  4. Step 4: Simplify right side
    25,589.68x = 375,824,143.69
  5. Step 5: Solve for x
    x = 375,824,143.69/25,589.68
  6. Step 6: Final answer
    x = 14,686.55

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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.