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Finding the Fourth Proportional to 19,902.30, 29,849.73 and 8,052.98

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Solution

The fourth proportional to 19,902.30, 29,849.73 and 8,052.98 is: 12,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902.30 : 29,849.73 = 8,052.98 : x
  2. Step 2: Convert to fraction form
    19,902.30/29,849.73 = 8,052.98/x
  3. Step 3: Cross multiply
    19,902.30x = 29,849.73 × 8,052.98
  4. Step 4: Simplify right side
    19,902.30x = 240,379,129.45
  5. Step 5: Solve for x
    x = 240,379,129.45/19,902.30
  6. Step 6: Final answer
    x = 12,077.96

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1.5x scale

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.