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Finding the Fourth Proportional to 20,939.68, 31,409.52 and 6,148.50

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Solution

The fourth proportional to 20,939.68, 31,409.52 and 6,148.50 is: 9,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939.68 : 31,409.52 = 6,148.50 : x
  2. Step 2: Convert to fraction form
    20,939.68/31,409.52 = 6,148.50/x
  3. Step 3: Cross multiply
    20,939.68x = 31,409.52 × 6,148.50
  4. Step 4: Simplify right side
    20,939.68x = 193,121,433.72
  5. Step 5: Solve for x
    x = 193,121,433.72/20,939.68
  6. Step 6: Final answer
    x = 9,222.75

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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.