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Finding the Fourth Proportional to 20,182.85, 30,276.18 and 5,392.65

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Solution

The fourth proportional to 20,182.85, 30,276.18 and 5,392.65 is: 8,089.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,182.85 : 30,276.18 = 5,392.65 : x
  2. Step 2: Convert to fraction form
    20,182.85/30,276.18 = 5,392.65/x
  3. Step 3: Cross multiply
    20,182.85x = 30,276.18 × 5,392.65
  4. Step 4: Simplify right side
    20,182.85x = 163,268,842.08
  5. Step 5: Solve for x
    x = 163,268,842.08/20,182.85
  6. Step 6: Final answer
    x = 8,089.49

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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.