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Finding the Fourth Proportional to 22,471.86, 33,728.50 and 11,386.26

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Solution

The fourth proportional to 22,471.86, 33,728.50 and 11,386.26 is: 17,089.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.86 : 33,728.50 = 11,386.26 : x
  2. Step 2: Convert to fraction form
    22,471.86/33,728.50 = 11,386.26/x
  3. Step 3: Cross multiply
    22,471.86x = 33,728.50 × 11,386.26
  4. Step 4: Simplify right side
    22,471.86x = 384,041,470.41
  5. Step 5: Solve for x
    x = 384,041,470.41/22,471.86
  6. Step 6: Final answer
    x = 17,089.88

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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.