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Finding the Fourth Proportional to 20,594.82, 30,868.37 and 9,478.17

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Solution

The fourth proportional to 20,594.82, 30,868.37 and 9,478.17 is: 14,206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.82 : 30,868.37 = 9,478.17 : x
  2. Step 2: Convert to fraction form
    20,594.82/30,868.37 = 9,478.17/x
  3. Step 3: Cross multiply
    20,594.82x = 30,868.37 × 9,478.17
  4. Step 4: Simplify right side
    20,594.82x = 292,575,611.09
  5. Step 5: Solve for x
    x = 292,575,611.09/20,594.82
  6. Step 6: Final answer
    x = 14,206.27

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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.