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Finding the Fourth Proportional to 22,901.75, 34,357.52 and 7,106.43

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Solution

The fourth proportional to 22,901.75, 34,357.52 and 7,106.43 is: 10,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,901.75 : 34,357.52 = 7,106.43 : x
  2. Step 2: Convert to fraction form
    22,901.75/34,357.52 = 7,106.43/x
  3. Step 3: Cross multiply
    22,901.75x = 34,357.52 × 7,106.43
  4. Step 4: Simplify right side
    22,901.75x = 244,159,310.85
  5. Step 5: Solve for x
    x = 244,159,310.85/22,901.75
  6. Step 6: Final answer
    x = 10,661.16

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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.