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Finding the Fourth Proportional to 20,470.32, 30,697.38 and 7,818.12

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Solution

The fourth proportional to 20,470.32, 30,697.38 and 7,818.12 is: 11,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,470.32 : 30,697.38 = 7,818.12 : x
  2. Step 2: Convert to fraction form
    20,470.32/30,697.38 = 7,818.12/x
  3. Step 3: Cross multiply
    20,470.32x = 30,697.38 × 7,818.12
  4. Step 4: Simplify right side
    20,470.32x = 239,995,800.53
  5. Step 5: Solve for x
    x = 239,995,800.53/20,470.32
  6. Step 6: Final answer
    x = 11,724.09

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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.