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Finding the Fourth Proportional to 19,704.80, 29,570.58 and 8,020.14

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Solution

The fourth proportional to 19,704.80, 29,570.58 and 8,020.14 is: 12,035.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,704.80 : 29,570.58 = 8,020.14 : x
  2. Step 2: Convert to fraction form
    19,704.80/29,570.58 = 8,020.14/x
  3. Step 3: Cross multiply
    19,704.80x = 29,570.58 × 8,020.14
  4. Step 4: Simplify right side
    19,704.80x = 237,160,191.48
  5. Step 5: Solve for x
    x = 237,160,191.48/19,704.80
  6. Step 6: Final answer
    x = 12,035.66

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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.