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Finding the Fourth Proportional to 12,155.78, 18,233.69 and 8,014.29

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Solution

The fourth proportional to 12,155.78, 18,233.69 and 8,014.29 is: 12,021.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,155.78 : 18,233.69 = 8,014.29 : x
  2. Step 2: Convert to fraction form
    12,155.78/18,233.69 = 8,014.29/x
  3. Step 3: Cross multiply
    12,155.78x = 18,233.69 × 8,014.29
  4. Step 4: Simplify right side
    12,155.78x = 146,130,031.09
  5. Step 5: Solve for x
    x = 146,130,031.09/12,155.78
  6. Step 6: Final answer
    x = 12,021.44

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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.