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Finding the Fourth Proportional to 12,219.62, 16,859.20 and 7,182.24

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Solution

The fourth proportional to 12,219.62, 16,859.20 and 7,182.24 is: 9,909.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,219.62 : 16,859.20 = 7,182.24 : x
  2. Step 2: Convert to fraction form
    12,219.62/16,859.20 = 7,182.24/x
  3. Step 3: Cross multiply
    12,219.62x = 16,859.20 × 7,182.24
  4. Step 4: Simplify right side
    12,219.62x = 121,086,820.61
  5. Step 5: Solve for x
    x = 121,086,820.61/12,219.62
  6. Step 6: Final answer
    x = 9,909.21

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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.