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Finding the Fourth Proportional to 22,641.57, 31,236.80 and 16,687.47

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Solution

The fourth proportional to 22,641.57, 31,236.80 and 16,687.47 is: 23,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.57 : 31,236.80 = 16,687.47 : x
  2. Step 2: Convert to fraction form
    22,641.57/31,236.80 = 16,687.47/x
  3. Step 3: Cross multiply
    22,641.57x = 31,236.80 × 16,687.47
  4. Step 4: Simplify right side
    22,641.57x = 521,263,079.46
  5. Step 5: Solve for x
    x = 521,263,079.46/22,641.57
  6. Step 6: Final answer
    x = 23,022.39

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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.