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Finding the Fourth Proportional to 21,245.59, 31,872.06 and 6,456.01

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Solution

The fourth proportional to 21,245.59, 31,872.06 and 6,456.01 is: 9,685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.59 : 31,872.06 = 6,456.01 : x
  2. Step 2: Convert to fraction form
    21,245.59/31,872.06 = 6,456.01/x
  3. Step 3: Cross multiply
    21,245.59x = 31,872.06 × 6,456.01
  4. Step 4: Simplify right side
    21,245.59x = 205,766,338.08
  5. Step 5: Solve for x
    x = 205,766,338.08/21,245.59
  6. Step 6: Final answer
    x = 9,685.13

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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.