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Finding the Fourth Proportional to 22,675.72, 34,025.10 and 10,193.22

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Solution

The fourth proportional to 22,675.72, 34,025.10 and 10,193.22 is: 15,295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,675.72 : 34,025.10 = 10,193.22 : x
  2. Step 2: Convert to fraction form
    22,675.72/34,025.10 = 10,193.22/x
  3. Step 3: Cross multiply
    22,675.72x = 34,025.10 × 10,193.22
  4. Step 4: Simplify right side
    22,675.72x = 346,825,329.82
  5. Step 5: Solve for x
    x = 346,825,329.82/22,675.72
  6. Step 6: Final answer
    x = 15,295.01

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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.