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Finding the Fourth Proportional to 20,728.24, 28,605.30 and 11,776

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Solution

The fourth proportional to 20,728.24, 28,605.30 and 11,776 is: 16,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728.24 : 28,605.30 = 11,776 : x
  2. Step 2: Convert to fraction form
    20,728.24/28,605.30 = 11,776/x
  3. Step 3: Cross multiply
    20,728.24x = 28,605.30 × 11,776
  4. Step 4: Simplify right side
    20,728.24x = 336,856,012.80
  5. Step 5: Solve for x
    x = 336,856,012.80/20,728.24
  6. Step 6: Final answer
    x = 16,251.07

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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.