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Finding the Fourth Proportional to 22,472.12, 31,011.32 and 12,400.65

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Solution

The fourth proportional to 22,472.12, 31,011.32 and 12,400.65 is: 17,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.12 : 31,011.32 = 12,400.65 : x
  2. Step 2: Convert to fraction form
    22,472.12/31,011.32 = 12,400.65/x
  3. Step 3: Cross multiply
    22,472.12x = 31,011.32 × 12,400.65
  4. Step 4: Simplify right side
    22,472.12x = 384,560,463.35
  5. Step 5: Solve for x
    x = 384,560,463.35/22,472.12
  6. Step 6: Final answer
    x = 17,112.78

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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.