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Finding the Fourth Proportional to 14,337.12, 21,546 and 8,494.56

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Solution

The fourth proportional to 14,337.12, 21,546 and 8,494.56 is: 12,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,337.12 : 21,546 = 8,494.56 : x
  2. Step 2: Convert to fraction form
    14,337.12/21,546 = 8,494.56/x
  3. Step 3: Cross multiply
    14,337.12x = 21,546 × 8,494.56
  4. Step 4: Simplify right side
    14,337.12x = 183,023,789.76
  5. Step 5: Solve for x
    x = 183,023,789.76/14,337.12
  6. Step 6: Final answer
    x = 12,765.73

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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.