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Finding the Fourth Proportional to 20,162.91, 27,824.34 and 11,210.39

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Solution

The fourth proportional to 20,162.91, 27,824.34 and 11,210.39 is: 15,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,162.91 : 27,824.34 = 11,210.39 : x
  2. Step 2: Convert to fraction form
    20,162.91/27,824.34 = 11,210.39/x
  3. Step 3: Cross multiply
    20,162.91x = 27,824.34 × 11,210.39
  4. Step 4: Simplify right side
    20,162.91x = 311,921,702.89
  5. Step 5: Solve for x
    x = 311,921,702.89/20,162.91
  6. Step 6: Final answer
    x = 15,470.07

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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.