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Finding the Fourth Proportional to 22,358.76, 30,855.14 and 12,287.22

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Solution

The fourth proportional to 22,358.76, 30,855.14 and 12,287.22 is: 16,956.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.76 : 30,855.14 = 12,287.22 : x
  2. Step 2: Convert to fraction form
    22,358.76/30,855.14 = 12,287.22/x
  3. Step 3: Cross multiply
    22,358.76x = 30,855.14 × 12,287.22
  4. Step 4: Simplify right side
    22,358.76x = 379,123,831.87
  5. Step 5: Solve for x
    x = 379,123,831.87/22,358.76
  6. Step 6: Final answer
    x = 16,956.39

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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.