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Finding the Fourth Proportional to 22,471.80, 31,011.20 and 12,400.26

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Solution

The fourth proportional to 22,471.80, 31,011.20 and 12,400.26 is: 17,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,471.80 : 31,011.20 = 12,400.26 : x
  2. Step 2: Convert to fraction form
    22,471.80/31,011.20 = 12,400.26/x
  3. Step 3: Cross multiply
    22,471.80x = 31,011.20 × 12,400.26
  4. Step 4: Simplify right side
    22,471.80x = 384,546,880.91
  5. Step 5: Solve for x
    x = 384,546,880.91/22,471.80
  6. Step 6: Final answer
    x = 17,112.42

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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.