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Finding the Fourth Proportional to 20,760.48, 31,123.32 and 9,064.80

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Solution

The fourth proportional to 20,760.48, 31,123.32 and 9,064.80 is: 13,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.48 : 31,123.32 = 9,064.80 : x
  2. Step 2: Convert to fraction form
    20,760.48/31,123.32 = 9,064.80/x
  3. Step 3: Cross multiply
    20,760.48x = 31,123.32 × 9,064.80
  4. Step 4: Simplify right side
    20,760.48x = 282,126,671.14
  5. Step 5: Solve for x
    x = 282,126,671.14/20,760.48
  6. Step 6: Final answer
    x = 13,589.60

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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.