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Finding the Fourth Proportional to 25,766.96, 38,650.14 and 14,523.14

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Solution

The fourth proportional to 25,766.96, 38,650.14 and 14,523.14 is: 21,784.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,766.96 : 38,650.14 = 14,523.14 : x
  2. Step 2: Convert to fraction form
    25,766.96/38,650.14 = 14,523.14/x
  3. Step 3: Cross multiply
    25,766.96x = 38,650.14 × 14,523.14
  4. Step 4: Simplify right side
    25,766.96x = 561,321,490.86
  5. Step 5: Solve for x
    x = 561,321,490.86/25,766.96
  6. Step 6: Final answer
    x = 21,784.55

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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.