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Finding the Fourth Proportional to 16,468.92, 22,678.38 and 16,123.86

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Solution

The fourth proportional to 16,468.92, 22,678.38 and 16,123.86 is: 22,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,468.92 : 22,678.38 = 16,123.86 : x
  2. Step 2: Convert to fraction form
    16,468.92/22,678.38 = 16,123.86/x
  3. Step 3: Cross multiply
    16,468.92x = 22,678.38 × 16,123.86
  4. Step 4: Simplify right side
    16,468.92x = 365,663,024.15
  5. Step 5: Solve for x
    x = 365,663,024.15/16,468.92
  6. Step 6: Final answer
    x = 22,203.22

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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.