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Finding the Fourth Proportional to 25,359.87, 38,043.90 and 7,825.59

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Solution

The fourth proportional to 25,359.87, 38,043.90 and 7,825.59 is: 11,739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,359.87 : 38,043.90 = 7,825.59 : x
  2. Step 2: Convert to fraction form
    25,359.87/38,043.90 = 7,825.59/x
  3. Step 3: Cross multiply
    25,359.87x = 38,043.90 × 7,825.59
  4. Step 4: Simplify right side
    25,359.87x = 297,715,963.40
  5. Step 5: Solve for x
    x = 297,715,963.40/25,359.87
  6. Step 6: Final answer
    x = 11,739.65

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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.