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Finding the Fourth Proportional to 20,005.80, 29,972.70 and 9,594.60

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Solution

The fourth proportional to 20,005.80, 29,972.70 and 9,594.60 is: 14,374.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,005.80 : 29,972.70 = 9,594.60 : x
  2. Step 2: Convert to fraction form
    20,005.80/29,972.70 = 9,594.60/x
  3. Step 3: Cross multiply
    20,005.80x = 29,972.70 × 9,594.60
  4. Step 4: Simplify right side
    20,005.80x = 287,576,067.42
  5. Step 5: Solve for x
    x = 287,576,067.42/20,005.80
  6. Step 6: Final answer
    x = 14,374.63

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1.5x scale

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.