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Finding the Fourth Proportional to 12,587.52, 18,884.64 and 6,013.44

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Solution

The fourth proportional to 12,587.52, 18,884.64 and 6,013.44 is: 9,021.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,587.52 : 18,884.64 = 6,013.44 : x
  2. Step 2: Convert to fraction form
    12,587.52/18,884.64 = 6,013.44/x
  3. Step 3: Cross multiply
    12,587.52x = 18,884.64 × 6,013.44
  4. Step 4: Simplify right side
    12,587.52x = 113,561,649.56
  5. Step 5: Solve for x
    x = 113,561,649.56/12,587.52
  6. Step 6: Final answer
    x = 9,021.77

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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.