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Finding the Fourth Proportional to 20,520.72, 30,782.00 and 6,288.15

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Solution

The fourth proportional to 20,520.72, 30,782.00 and 6,288.15 is: 9,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.72 : 30,782.00 = 6,288.15 : x
  2. Step 2: Convert to fraction form
    20,520.72/30,782.00 = 6,288.15/x
  3. Step 3: Cross multiply
    20,520.72x = 30,782.00 × 6,288.15
  4. Step 4: Simplify right side
    20,520.72x = 193,561,686.43
  5. Step 5: Solve for x
    x = 193,561,686.43/20,520.72
  6. Step 6: Final answer
    x = 9,432.50

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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.