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Finding the Fourth Proportional to 25,797.33, 38,699.84 and 9,155.97

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Solution

The fourth proportional to 25,797.33, 38,699.84 and 9,155.97 is: 13,735.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,797.33 : 38,699.84 = 9,155.97 : x
  2. Step 2: Convert to fraction form
    25,797.33/38,699.84 = 9,155.97/x
  3. Step 3: Cross multiply
    25,797.33x = 38,699.84 × 9,155.97
  4. Step 4: Simplify right side
    25,797.33x = 354,334,406.03
  5. Step 5: Solve for x
    x = 354,334,406.03/25,797.33
  6. Step 6: Final answer
    x = 13,735.31

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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.