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Finding the Fourth Proportional to 22,578.66, 33,821.91 and 10,275.30

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Solution

The fourth proportional to 22,578.66, 33,821.91 and 10,275.30 is: 15,391.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,578.66 : 33,821.91 = 10,275.30 : x
  2. Step 2: Convert to fraction form
    22,578.66/33,821.91 = 10,275.30/x
  3. Step 3: Cross multiply
    22,578.66x = 33,821.91 × 10,275.30
  4. Step 4: Simplify right side
    22,578.66x = 347,530,271.82
  5. Step 5: Solve for x
    x = 347,530,271.82/22,578.66
  6. Step 6: Final answer
    x = 15,391.98

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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.