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Finding the Fourth Proportional to 25,540.86, 38,309.70 and 12,223.31

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Solution

The fourth proportional to 25,540.86, 38,309.70 and 12,223.31 is: 18,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,540.86 : 38,309.70 = 12,223.31 : x
  2. Step 2: Convert to fraction form
    25,540.86/38,309.70 = 12,223.31/x
  3. Step 3: Cross multiply
    25,540.86x = 38,309.70 × 12,223.31
  4. Step 4: Simplify right side
    25,540.86x = 468,271,339.11
  5. Step 5: Solve for x
    x = 468,271,339.11/25,540.86
  6. Step 6: Final answer
    x = 18,334.20

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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.