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Finding the Fourth Proportional to 25,732.25, 38,597.90 and 8,201.82

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Solution

The fourth proportional to 25,732.25, 38,597.90 and 8,201.82 is: 12,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,732.25 : 38,597.90 = 8,201.82 : x
  2. Step 2: Convert to fraction form
    25,732.25/38,597.90 = 8,201.82/x
  3. Step 3: Cross multiply
    25,732.25x = 38,597.90 × 8,201.82
  4. Step 4: Simplify right side
    25,732.25x = 316,572,987.17
  5. Step 5: Solve for x
    x = 316,572,987.17/25,732.25
  6. Step 6: Final answer
    x = 12,302.58

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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.