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Finding the Fourth Proportional to 20,750.50, 31,125.45 and 9,650.97

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Solution

The fourth proportional to 20,750.50, 31,125.45 and 9,650.97 is: 14,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,750.50 : 31,125.45 = 9,650.97 : x
  2. Step 2: Convert to fraction form
    20,750.50/31,125.45 = 9,650.97/x
  3. Step 3: Cross multiply
    20,750.50x = 31,125.45 × 9,650.97
  4. Step 4: Simplify right side
    20,750.50x = 300,390,784.19
  5. Step 5: Solve for x
    x = 300,390,784.19/20,750.50
  6. Step 6: Final answer
    x = 14,476.32

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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.