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Finding the Fourth Proportional to 25,517.82, 38,262 and 9,917.22

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Solution

The fourth proportional to 25,517.82, 38,262 and 9,917.22 is: 14,870.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,517.82 : 38,262 = 9,917.22 : x
  2. Step 2: Convert to fraction form
    25,517.82/38,262 = 9,917.22/x
  3. Step 3: Cross multiply
    25,517.82x = 38,262 × 9,917.22
  4. Step 4: Simplify right side
    25,517.82x = 379,452,671.64
  5. Step 5: Solve for x
    x = 379,452,671.64/25,517.82
  6. Step 6: Final answer
    x = 14,870.11

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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.