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Finding the Fourth Proportional to 22,269.19, 30,729.87 and 12,196

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Solution

The fourth proportional to 22,269.19, 30,729.87 and 12,196 is: 16,829.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,269.19 : 30,729.87 = 12,196 : x
  2. Step 2: Convert to fraction form
    22,269.19/30,729.87 = 12,196/x
  3. Step 3: Cross multiply
    22,269.19x = 30,729.87 × 12,196
  4. Step 4: Simplify right side
    22,269.19x = 374,781,494.52
  5. Step 5: Solve for x
    x = 374,781,494.52/22,269.19
  6. Step 6: Final answer
    x = 16,829.60

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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.