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Finding the Fourth Proportional to 21,818.32, 30,109.44 and 11,882.32

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Solution

The fourth proportional to 21,818.32, 30,109.44 and 11,882.32 is: 16,397.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,818.32 : 30,109.44 = 11,882.32 : x
  2. Step 2: Convert to fraction form
    21,818.32/30,109.44 = 11,882.32/x
  3. Step 3: Cross multiply
    21,818.32x = 30,109.44 × 11,882.32
  4. Step 4: Simplify right side
    21,818.32x = 357,770,001.10
  5. Step 5: Solve for x
    x = 357,770,001.10/21,818.32
  6. Step 6: Final answer
    x = 16,397.69

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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.