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Finding the Fourth Proportional to 22,471.75, 31,011.02 and 12,535.75

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Solution

The fourth proportional to 22,471.75, 31,011.02 and 12,535.75 is: 17,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.75 : 31,011.02 = 12,535.75 : x
  2. Step 2: Convert to fraction form
    22,471.75/31,011.02 = 12,535.75/x
  3. Step 3: Cross multiply
    22,471.75x = 31,011.02 × 12,535.75
  4. Step 4: Simplify right side
    22,471.75x = 388,746,393.97
  5. Step 5: Solve for x
    x = 388,746,393.97/22,471.75
  6. Step 6: Final answer
    x = 17,299.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.