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Finding the Fourth Proportional to 13,600.34, 18,775.02 and 8,567

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Solution

The fourth proportional to 13,600.34, 18,775.02 and 8,567 is: 11,826.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.34 : 18,775.02 = 8,567 : x
  2. Step 2: Convert to fraction form
    13,600.34/18,775.02 = 8,567/x
  3. Step 3: Cross multiply
    13,600.34x = 18,775.02 × 8,567
  4. Step 4: Simplify right side
    13,600.34x = 160,845,596.34
  5. Step 5: Solve for x
    x = 160,845,596.34/13,600.34
  6. Step 6: Final answer
    x = 11,826.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.