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Finding the Fourth Proportional to 25,859.35, 38,792.06 and 9,221.75

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Solution

The fourth proportional to 25,859.35, 38,792.06 and 9,221.75 is: 13,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859.35 : 38,792.06 = 9,221.75 : x
  2. Step 2: Convert to fraction form
    25,859.35/38,792.06 = 9,221.75/x
  3. Step 3: Cross multiply
    25,859.35x = 38,792.06 × 9,221.75
  4. Step 4: Simplify right side
    25,859.35x = 357,730,671.16
  5. Step 5: Solve for x
    x = 357,730,671.16/25,859.35
  6. Step 6: Final answer
    x = 13,833.71

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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.