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Finding the Fourth Proportional to 25,716.96, 38,579.88 and 8,849.16

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Solution

The fourth proportional to 25,716.96, 38,579.88 and 8,849.16 is: 13,275.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,716.96 : 38,579.88 = 8,849.16 : x
  2. Step 2: Convert to fraction form
    25,716.96/38,579.88 = 8,849.16/x
  3. Step 3: Cross multiply
    25,716.96x = 38,579.88 × 8,849.16
  4. Step 4: Simplify right side
    25,716.96x = 341,399,530.90
  5. Step 5: Solve for x
    x = 341,399,530.90/25,716.96
  6. Step 6: Final answer
    x = 13,275.27

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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.