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Finding the Fourth Proportional to 20,632.48, 28,472 and 11,200.80

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Solution

The fourth proportional to 20,632.48, 28,472 and 11,200.80 is: 15,456.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.48 : 28,472 = 11,200.80 : x
  2. Step 2: Convert to fraction form
    20,632.48/28,472 = 11,200.80/x
  3. Step 3: Cross multiply
    20,632.48x = 28,472 × 11,200.80
  4. Step 4: Simplify right side
    20,632.48x = 318,909,177.60
  5. Step 5: Solve for x
    x = 318,909,177.60/20,632.48
  6. Step 6: Final answer
    x = 15,456.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.