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Finding the Fourth Proportional to 12,233.40, 18,350.10 and 7,859.40

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Solution

The fourth proportional to 12,233.40, 18,350.10 and 7,859.40 is: 11,789.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,233.40 : 18,350.10 = 7,859.40 : x
  2. Step 2: Convert to fraction form
    12,233.40/18,350.10 = 7,859.40/x
  3. Step 3: Cross multiply
    12,233.40x = 18,350.10 × 7,859.40
  4. Step 4: Simplify right side
    12,233.40x = 144,220,775.94
  5. Step 5: Solve for x
    x = 144,220,775.94/12,233.40
  6. Step 6: Final answer
    x = 11,789.10

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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.