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Finding the Fourth Proportional to 20,520.80, 30,782.16 and 10,653.84

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Solution

The fourth proportional to 20,520.80, 30,782.16 and 10,653.84 is: 15,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.80 : 30,782.16 = 10,653.84 : x
  2. Step 2: Convert to fraction form
    20,520.80/30,782.16 = 10,653.84/x
  3. Step 3: Cross multiply
    20,520.80x = 30,782.16 × 10,653.84
  4. Step 4: Simplify right side
    20,520.80x = 327,948,207.49
  5. Step 5: Solve for x
    x = 327,948,207.49/20,520.80
  6. Step 6: Final answer
    x = 15,981.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.