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Finding the Fourth Proportional to 22,695.17, 34,042.46 and 10,206.36

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Solution

The fourth proportional to 22,695.17, 34,042.46 and 10,206.36 is: 15,309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,695.17 : 34,042.46 = 10,206.36 : x
  2. Step 2: Convert to fraction form
    22,695.17/34,042.46 = 10,206.36/x
  3. Step 3: Cross multiply
    22,695.17x = 34,042.46 × 10,206.36
  4. Step 4: Simplify right side
    22,695.17x = 347,449,551.01
  5. Step 5: Solve for x
    x = 347,449,551.01/22,695.17
  6. Step 6: Final answer
    x = 15,309.41

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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.