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Finding the Fourth Proportional to 25,801.22, 38,705.48 and 8,266.95

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Solution

The fourth proportional to 25,801.22, 38,705.48 and 8,266.95 is: 12,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.22 : 38,705.48 = 8,266.95 : x
  2. Step 2: Convert to fraction form
    25,801.22/38,705.48 = 8,266.95/x
  3. Step 3: Cross multiply
    25,801.22x = 38,705.48 × 8,266.95
  4. Step 4: Simplify right side
    25,801.22x = 319,976,226.55
  5. Step 5: Solve for x
    x = 319,976,226.55/25,801.22
  6. Step 6: Final answer
    x = 12,401.60

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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.