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Finding the Fourth Proportional to 25,065.73, 34,589.16 and 14,311.83

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Solution

The fourth proportional to 25,065.73, 34,589.16 and 14,311.83 is: 19,749.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,065.73 : 34,589.16 = 14,311.83 : x
  2. Step 2: Convert to fraction form
    25,065.73/34,589.16 = 14,311.83/x
  3. Step 3: Cross multiply
    25,065.73x = 34,589.16 × 14,311.83
  4. Step 4: Simplify right side
    25,065.73x = 495,034,177.76
  5. Step 5: Solve for x
    x = 495,034,177.76/25,065.73
  6. Step 6: Final answer
    x = 19,749.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.