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Finding the Fourth Proportional to 15,165.80, 20,928.84 and 9,195.92

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Solution

The fourth proportional to 15,165.80, 20,928.84 and 9,195.92 is: 12,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.80 : 20,928.84 = 9,195.92 : x
  2. Step 2: Convert to fraction form
    15,165.80/20,928.84 = 9,195.92/x
  3. Step 3: Cross multiply
    15,165.80x = 20,928.84 × 9,195.92
  4. Step 4: Simplify right side
    15,165.80x = 192,459,938.33
  5. Step 5: Solve for x
    x = 192,459,938.33/15,165.80
  6. Step 6: Final answer
    x = 12,690.39

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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.