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Finding the Fourth Proportional to 25,886.20, 38,858.10 and 24,194.20

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Solution

The fourth proportional to 25,886.20, 38,858.10 and 24,194.20 is: 36,318.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.20 : 38,858.10 = 24,194.20 : x
  2. Step 2: Convert to fraction form
    25,886.20/38,858.10 = 24,194.20/x
  3. Step 3: Cross multiply
    25,886.20x = 38,858.10 × 24,194.20
  4. Step 4: Simplify right side
    25,886.20x = 940,140,643.02
  5. Step 5: Solve for x
    x = 940,140,643.02/25,886.20
  6. Step 6: Final answer
    x = 36,318.22

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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.