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Finding the Fourth Proportional to 22,771.27, 31,443.02 and 15,685.39

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Solution

The fourth proportional to 22,771.27, 31,443.02 and 15,685.39 is: 21,658.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,771.27 : 31,443.02 = 15,685.39 : x
  2. Step 2: Convert to fraction form
    22,771.27/31,443.02 = 15,685.39/x
  3. Step 3: Cross multiply
    22,771.27x = 31,443.02 × 15,685.39
  4. Step 4: Simplify right side
    22,771.27x = 493,196,031.48
  5. Step 5: Solve for x
    x = 493,196,031.48/22,771.27
  6. Step 6: Final answer
    x = 21,658.70

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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.