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Finding the Fourth Proportional to 21,886.24, 32,832 and 6,304

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Solution

The fourth proportional to 21,886.24, 32,832 and 6,304 is: 9,456.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,886.24 : 32,832 = 6,304 : x
  2. Step 2: Convert to fraction form
    21,886.24/32,832 = 6,304/x
  3. Step 3: Cross multiply
    21,886.24x = 32,832 × 6,304
  4. Step 4: Simplify right side
    21,886.24x = 206,972,928
  5. Step 5: Solve for x
    x = 206,972,928/21,886.24
  6. Step 6: Final answer
    x = 9,456.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.