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Finding the Fourth Proportional to 22,716, 31,348.07 and 12,644.23

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Solution

The fourth proportional to 22,716, 31,348.07 and 12,644.23 is: 17,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,716 : 31,348.07 = 12,644.23 : x
  2. Step 2: Convert to fraction form
    22,716/31,348.07 = 12,644.23/x
  3. Step 3: Cross multiply
    22,716x = 31,348.07 × 12,644.23
  4. Step 4: Simplify right side
    22,716x = 396,372,050.40
  5. Step 5: Solve for x
    x = 396,372,050.40/22,716
  6. Step 6: Final answer
    x = 17,449.02

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Why These Related Problems?

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