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Finding the Fourth Proportional to 20,502.86, 30,754.22 and 7,356.15

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Solution

The fourth proportional to 20,502.86, 30,754.22 and 7,356.15 is: 11,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.86 : 30,754.22 = 7,356.15 : x
  2. Step 2: Convert to fraction form
    20,502.86/30,754.22 = 7,356.15/x
  3. Step 3: Cross multiply
    20,502.86x = 30,754.22 × 7,356.15
  4. Step 4: Simplify right side
    20,502.86x = 226,232,618.67
  5. Step 5: Solve for x
    x = 226,232,618.67/20,502.86
  6. Step 6: Final answer
    x = 11,034.20

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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.