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Finding the Fourth Proportional to 20,523.66, 30,762.96 and 8,041.38

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Solution

The fourth proportional to 20,523.66, 30,762.96 and 8,041.38 is: 12,053.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523.66 : 30,762.96 = 8,041.38 : x
  2. Step 2: Convert to fraction form
    20,523.66/30,762.96 = 8,041.38/x
  3. Step 3: Cross multiply
    20,523.66x = 30,762.96 × 8,041.38
  4. Step 4: Simplify right side
    20,523.66x = 247,376,651.28
  5. Step 5: Solve for x
    x = 247,376,651.28/20,523.66
  6. Step 6: Final answer
    x = 12,053.24

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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.