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Finding the Fourth Proportional to 22,570.32, 33,851.42 and 13,214.82

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Solution

The fourth proportional to 22,570.32, 33,851.42 and 13,214.82 is: 19,819.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.32 : 33,851.42 = 13,214.82 : x
  2. Step 2: Convert to fraction form
    22,570.32/33,851.42 = 13,214.82/x
  3. Step 3: Cross multiply
    22,570.32x = 33,851.42 × 13,214.82
  4. Step 4: Simplify right side
    22,570.32x = 447,340,422.04
  5. Step 5: Solve for x
    x = 447,340,422.04/22,570.32
  6. Step 6: Final answer
    x = 19,819.85

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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.