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Finding the Fourth Proportional to 25,797.67, 38,700.35 and 9,156.31

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Solution

The fourth proportional to 25,797.67, 38,700.35 and 9,156.31 is: 13,735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.67 : 38,700.35 = 9,156.31 : x
  2. Step 2: Convert to fraction form
    25,797.67/38,700.35 = 9,156.31/x
  3. Step 3: Cross multiply
    25,797.67x = 38,700.35 × 9,156.31
  4. Step 4: Simplify right side
    25,797.67x = 354,352,562.71
  5. Step 5: Solve for x
    x = 354,352,562.71/25,797.67
  6. Step 6: Final answer
    x = 13,735.83

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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.