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Finding the Fourth Proportional to 22,351.86, 30,820.31 and 16,291.39

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Solution

The fourth proportional to 22,351.86, 30,820.31 and 16,291.39 is: 22,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,351.86 : 30,820.31 = 16,291.39 : x
  2. Step 2: Convert to fraction form
    22,351.86/30,820.31 = 16,291.39/x
  3. Step 3: Cross multiply
    22,351.86x = 30,820.31 × 16,291.39
  4. Step 4: Simplify right side
    22,351.86x = 502,105,730.86
  5. Step 5: Solve for x
    x = 502,105,730.86/22,351.86
  6. Step 6: Final answer
    x = 22,463.72

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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.