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Finding the Fourth Proportional to 21,248.01, 31,872.06 and 6,456.87

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Solution

The fourth proportional to 21,248.01, 31,872.06 and 6,456.87 is: 9,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,248.01 : 31,872.06 = 6,456.87 : x
  2. Step 2: Convert to fraction form
    21,248.01/31,872.06 = 6,456.87/x
  3. Step 3: Cross multiply
    21,248.01x = 31,872.06 × 6,456.87
  4. Step 4: Simplify right side
    21,248.01x = 205,793,748.05
  5. Step 5: Solve for x
    x = 205,793,748.05/21,248.01
  6. Step 6: Final answer
    x = 9,685.32

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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.