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Finding the Fourth Proportional to 12,023.68, 18,035.52 and 7,889.85

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Solution

The fourth proportional to 12,023.68, 18,035.52 and 7,889.85 is: 11,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.68 : 18,035.52 = 7,889.85 : x
  2. Step 2: Convert to fraction form
    12,023.68/18,035.52 = 7,889.85/x
  3. Step 3: Cross multiply
    12,023.68x = 18,035.52 × 7,889.85
  4. Step 4: Simplify right side
    12,023.68x = 142,297,547.47
  5. Step 5: Solve for x
    x = 142,297,547.47/12,023.68
  6. Step 6: Final answer
    x = 11,834.78

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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.