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Finding the Fourth Proportional to 20,156.90, 30,246.15 and 8,471.30

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Solution

The fourth proportional to 20,156.90, 30,246.15 and 8,471.30 is: 12,711.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.90 : 30,246.15 = 8,471.30 : x
  2. Step 2: Convert to fraction form
    20,156.90/30,246.15 = 8,471.30/x
  3. Step 3: Cross multiply
    20,156.90x = 30,246.15 × 8,471.30
  4. Step 4: Simplify right side
    20,156.90x = 256,224,210.50
  5. Step 5: Solve for x
    x = 256,224,210.50/20,156.90
  6. Step 6: Final answer
    x = 12,711.49

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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.