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Finding the Fourth Proportional to 20,073.80, 30,098.54 and 8,978.42

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Solution

The fourth proportional to 20,073.80, 30,098.54 and 8,978.42 is: 13,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,073.80 : 30,098.54 = 8,978.42 : x
  2. Step 2: Convert to fraction form
    20,073.80/30,098.54 = 8,978.42/x
  3. Step 3: Cross multiply
    20,073.80x = 30,098.54 × 8,978.42
  4. Step 4: Simplify right side
    20,073.80x = 270,237,333.51
  5. Step 5: Solve for x
    x = 270,237,333.51/20,073.80
  6. Step 6: Final answer
    x = 13,462.19

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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.