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Finding the Fourth Proportional to 12,000.24, 16,567.20 and 8,034.48

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Solution

The fourth proportional to 12,000.24, 16,567.20 and 8,034.48 is: 11,092.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,000.24 : 16,567.20 = 8,034.48 : x
  2. Step 2: Convert to fraction form
    12,000.24/16,567.20 = 8,034.48/x
  3. Step 3: Cross multiply
    12,000.24x = 16,567.20 × 8,034.48
  4. Step 4: Simplify right side
    12,000.24x = 133,108,837.06
  5. Step 5: Solve for x
    x = 133,108,837.06/12,000.24
  6. Step 6: Final answer
    x = 11,092.18

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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.