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Finding the Fourth Proportional to 22,471.84, 33,714.28 and 6,891.76

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Solution

The fourth proportional to 22,471.84, 33,714.28 and 6,891.76 is: 10,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.84 : 33,714.28 = 6,891.76 : x
  2. Step 2: Convert to fraction form
    22,471.84/33,714.28 = 6,891.76/x
  3. Step 3: Cross multiply
    22,471.84x = 33,714.28 × 6,891.76
  4. Step 4: Simplify right side
    22,471.84x = 232,350,726.33
  5. Step 5: Solve for x
    x = 232,350,726.33/22,471.84
  6. Step 6: Final answer
    x = 10,339.64

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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.