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Finding the Fourth Proportional to 12,159.80, 18,215.40 and 8,223.20

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Solution

The fourth proportional to 12,159.80, 18,215.40 and 8,223.20 is: 12,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,159.80 : 18,215.40 = 8,223.20 : x
  2. Step 2: Convert to fraction form
    12,159.80/18,215.40 = 8,223.20/x
  3. Step 3: Cross multiply
    12,159.80x = 18,215.40 × 8,223.20
  4. Step 4: Simplify right side
    12,159.80x = 149,788,877.28
  5. Step 5: Solve for x
    x = 149,788,877.28/12,159.80
  6. Step 6: Final answer
    x = 12,318.37

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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.