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Finding the Fourth Proportional to 27,293.80, 40,931.10 and 9,764.20

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Solution

The fourth proportional to 27,293.80, 40,931.10 and 9,764.20 is: 14,642.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293.80 : 40,931.10 = 9,764.20 : x
  2. Step 2: Convert to fraction form
    27,293.80/40,931.10 = 9,764.20/x
  3. Step 3: Cross multiply
    27,293.80x = 40,931.10 × 9,764.20
  4. Step 4: Simplify right side
    27,293.80x = 399,659,446.62
  5. Step 5: Solve for x
    x = 399,659,446.62/27,293.80
  6. Step 6: Final answer
    x = 14,642.87

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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.