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Finding the Fourth Proportional to 12,193.12, 18,292.56 and 4,402

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Solution

The fourth proportional to 12,193.12, 18,292.56 and 4,402 is: 6,604.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.12 : 18,292.56 = 4,402 : x
  2. Step 2: Convert to fraction form
    12,193.12/18,292.56 = 4,402/x
  3. Step 3: Cross multiply
    12,193.12x = 18,292.56 × 4,402
  4. Step 4: Simplify right side
    12,193.12x = 80,523,849.12
  5. Step 5: Solve for x
    x = 80,523,849.12/12,193.12
  6. Step 6: Final answer
    x = 6,604.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.