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Finding the Fourth Proportional to 13,454.86, 20,182.34 and 6,524.50

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Solution

The fourth proportional to 13,454.86, 20,182.34 and 6,524.50 is: 9,786.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,454.86 : 20,182.34 = 6,524.50 : x
  2. Step 2: Convert to fraction form
    13,454.86/20,182.34 = 6,524.50/x
  3. Step 3: Cross multiply
    13,454.86x = 20,182.34 × 6,524.50
  4. Step 4: Simplify right side
    13,454.86x = 131,679,677.33
  5. Step 5: Solve for x
    x = 131,679,677.33/13,454.86
  6. Step 6: Final answer
    x = 9,786.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.