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Finding the Fourth Proportional to 21,449.84, 32,185.77 and 10,217.90

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Solution

The fourth proportional to 21,449.84, 32,185.77 and 10,217.90 is: 15,332.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.84 : 32,185.77 = 10,217.90 : x
  2. Step 2: Convert to fraction form
    21,449.84/32,185.77 = 10,217.90/x
  3. Step 3: Cross multiply
    21,449.84x = 32,185.77 × 10,217.90
  4. Step 4: Simplify right side
    21,449.84x = 328,870,979.28
  5. Step 5: Solve for x
    x = 328,870,979.28/21,449.84
  6. Step 6: Final answer
    x = 15,332.09

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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.