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Finding the Fourth Proportional to 16,002.38, 22,083.72 and 8,930.18

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Solution

The fourth proportional to 16,002.38, 22,083.72 and 8,930.18 is: 12,323.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,002.38 : 22,083.72 = 8,930.18 : x
  2. Step 2: Convert to fraction form
    16,002.38/22,083.72 = 8,930.18/x
  3. Step 3: Cross multiply
    16,002.38x = 22,083.72 × 8,930.18
  4. Step 4: Simplify right side
    16,002.38x = 197,211,594.67
  5. Step 5: Solve for x
    x = 197,211,594.67/16,002.38
  6. Step 6: Final answer
    x = 12,323.89

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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.