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Finding the Fourth Proportional to 20,382.70, 28,129.47 and 11,430.78

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Solution

The fourth proportional to 20,382.70, 28,129.47 and 11,430.78 is: 15,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,382.70 : 28,129.47 = 11,430.78 : x
  2. Step 2: Convert to fraction form
    20,382.70/28,129.47 = 11,430.78/x
  3. Step 3: Cross multiply
    20,382.70x = 28,129.47 × 11,430.78
  4. Step 4: Simplify right side
    20,382.70x = 321,541,783.09
  5. Step 5: Solve for x
    x = 321,541,783.09/20,382.70
  6. Step 6: Final answer
    x = 15,775.23

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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.