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Finding the Fourth Proportional to 20,750.64, 31,125.88 and 12,433.15

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Solution

The fourth proportional to 20,750.64, 31,125.88 and 12,433.15 is: 18,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.64 : 31,125.88 = 12,433.15 : x
  2. Step 2: Convert to fraction form
    20,750.64/31,125.88 = 12,433.15/x
  3. Step 3: Cross multiply
    20,750.64x = 31,125.88 × 12,433.15
  4. Step 4: Simplify right side
    20,750.64x = 386,992,734.92
  5. Step 5: Solve for x
    x = 386,992,734.92/20,750.64
  6. Step 6: Final answer
    x = 18,649.68

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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.