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Finding the Fourth Proportional to 25,744.17, 38,616.27 and 9,095.16

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Solution

The fourth proportional to 25,744.17, 38,616.27 and 9,095.16 is: 13,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,744.17 : 38,616.27 = 9,095.16 : x
  2. Step 2: Convert to fraction form
    25,744.17/38,616.27 = 9,095.16/x
  3. Step 3: Cross multiply
    25,744.17x = 38,616.27 × 9,095.16
  4. Step 4: Simplify right side
    25,744.17x = 351,221,154.25
  5. Step 5: Solve for x
    x = 351,221,154.25/25,744.17
  6. Step 6: Final answer
    x = 13,642.75

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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.