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Finding the Fourth Proportional to 13,305.18, 18,341.52 and 8,524.56

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Solution

The fourth proportional to 13,305.18, 18,341.52 and 8,524.56 is: 11,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,305.18 : 18,341.52 = 8,524.56 : x
  2. Step 2: Convert to fraction form
    13,305.18/18,341.52 = 8,524.56/x
  3. Step 3: Cross multiply
    13,305.18x = 18,341.52 × 8,524.56
  4. Step 4: Simplify right side
    13,305.18x = 156,353,387.73
  5. Step 5: Solve for x
    x = 156,353,387.73/13,305.18
  6. Step 6: Final answer
    x = 11,751.32

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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.