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Finding the Fourth Proportional to 21,376.97, 32,072.38 and 10,282.22

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Solution

The fourth proportional to 21,376.97, 32,072.38 and 10,282.22 is: 15,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,376.97 : 32,072.38 = 10,282.22 : x
  2. Step 2: Convert to fraction form
    21,376.97/32,072.38 = 10,282.22/x
  3. Step 3: Cross multiply
    21,376.97x = 32,072.38 × 10,282.22
  4. Step 4: Simplify right side
    21,376.97x = 329,775,081.02
  5. Step 5: Solve for x
    x = 329,775,081.02/21,376.97
  6. Step 6: Final answer
    x = 15,426.65

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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.