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Finding the Fourth Proportional to 25,452.48, 38,182.81 and 9,664.17

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Solution

The fourth proportional to 25,452.48, 38,182.81 and 9,664.17 is: 14,497.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,452.48 : 38,182.81 = 9,664.17 : x
  2. Step 2: Convert to fraction form
    25,452.48/38,182.81 = 9,664.17/x
  3. Step 3: Cross multiply
    25,452.48x = 38,182.81 × 9,664.17
  4. Step 4: Simplify right side
    25,452.48x = 369,005,166.92
  5. Step 5: Solve for x
    x = 369,005,166.92/25,452.48
  6. Step 6: Final answer
    x = 14,497.81

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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.