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Finding the Fourth Proportional to 20,520.84, 30,782.97 and 5,729.93

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Solution

The fourth proportional to 20,520.84, 30,782.97 and 5,729.93 is: 8,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520.84 : 30,782.97 = 5,729.93 : x
  2. Step 2: Convert to fraction form
    20,520.84/30,782.97 = 5,729.93/x
  3. Step 3: Cross multiply
    20,520.84x = 30,782.97 × 5,729.93
  4. Step 4: Simplify right side
    20,520.84x = 176,384,263.29
  5. Step 5: Solve for x
    x = 176,384,263.29/20,520.84
  6. Step 6: Final answer
    x = 8,595.37

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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.