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Finding the Fourth Proportional to 22,821.26, 34,235.93 and 10,340.78

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Solution

The fourth proportional to 22,821.26, 34,235.93 and 10,340.78 is: 15,513.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,821.26 : 34,235.93 = 10,340.78 : x
  2. Step 2: Convert to fraction form
    22,821.26/34,235.93 = 10,340.78/x
  3. Step 3: Cross multiply
    22,821.26x = 34,235.93 × 10,340.78
  4. Step 4: Simplify right side
    22,821.26x = 354,026,049.05
  5. Step 5: Solve for x
    x = 354,026,049.05/22,821.26
  6. Step 6: Final answer
    x = 15,513.00

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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.