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Finding the Fourth Proportional to 22,002.98, 30,366.50 and 12,446.66

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Solution

The fourth proportional to 22,002.98, 30,366.50 and 12,446.66 is: 17,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,002.98 : 30,366.50 = 12,446.66 : x
  2. Step 2: Convert to fraction form
    22,002.98/30,366.50 = 12,446.66/x
  3. Step 3: Cross multiply
    22,002.98x = 30,366.50 × 12,446.66
  4. Step 4: Simplify right side
    22,002.98x = 377,961,514.57
  5. Step 5: Solve for x
    x = 377,961,514.57/22,002.98
  6. Step 6: Final answer
    x = 17,177.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.