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Finding the Fourth Proportional to 12,165.90, 16,191.20 and 12,165.90

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Solution

The fourth proportional to 12,165.90, 16,191.20 and 12,165.90 is: 16,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.90 : 16,191.20 = 12,165.90 : x
  2. Step 2: Convert to fraction form
    12,165.90/16,191.20 = 12,165.90/x
  3. Step 3: Cross multiply
    12,165.90x = 16,191.20 × 12,165.90
  4. Step 4: Simplify right side
    12,165.90x = 196,980,459.25
  5. Step 5: Solve for x
    x = 196,980,459.25/12,165.90
  6. Step 6: Final answer
    x = 16,191.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.