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Finding the Fourth Proportional to 20,022.32, 30,007.80 and 8,321.60

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Solution

The fourth proportional to 20,022.32, 30,007.80 and 8,321.60 is: 12,471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.32 : 30,007.80 = 8,321.60 : x
  2. Step 2: Convert to fraction form
    20,022.32/30,007.80 = 8,321.60/x
  3. Step 3: Cross multiply
    20,022.32x = 30,007.80 × 8,321.60
  4. Step 4: Simplify right side
    20,022.32x = 249,712,908.48
  5. Step 5: Solve for x
    x = 249,712,908.48/20,022.32
  6. Step 6: Final answer
    x = 12,471.73

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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.