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Finding the Fourth Proportional to 21,221.68, 31,805.46 and 8,727.42

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Solution

The fourth proportional to 21,221.68, 31,805.46 and 8,727.42 is: 13,080.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,221.68 : 31,805.46 = 8,727.42 : x
  2. Step 2: Convert to fraction form
    21,221.68/31,805.46 = 8,727.42/x
  3. Step 3: Cross multiply
    21,221.68x = 31,805.46 × 8,727.42
  4. Step 4: Simplify right side
    21,221.68x = 277,579,607.71
  5. Step 5: Solve for x
    x = 277,579,607.71/21,221.68
  6. Step 6: Final answer
    x = 13,080.00

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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.