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Finding the Fourth Proportional to 14,773.50, 20,375.90 and 9,468.82

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Solution

The fourth proportional to 14,773.50, 20,375.90 and 9,468.82 is: 13,059.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,773.50 : 20,375.90 = 9,468.82 : x
  2. Step 2: Convert to fraction form
    14,773.50/20,375.90 = 9,468.82/x
  3. Step 3: Cross multiply
    14,773.50x = 20,375.90 × 9,468.82
  4. Step 4: Simplify right side
    14,773.50x = 192,935,729.44
  5. Step 5: Solve for x
    x = 192,935,729.44/14,773.50
  6. Step 6: Final answer
    x = 13,059.58

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1.5x scale

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.