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Finding the Fourth Proportional to 19,770.72, 29,642.08 and 9,902.96

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Solution

The fourth proportional to 19,770.72, 29,642.08 and 9,902.96 is: 14,847.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,770.72 : 29,642.08 = 9,902.96 : x
  2. Step 2: Convert to fraction form
    19,770.72/29,642.08 = 9,902.96/x
  3. Step 3: Cross multiply
    19,770.72x = 29,642.08 × 9,902.96
  4. Step 4: Simplify right side
    19,770.72x = 293,544,332.56
  5. Step 5: Solve for x
    x = 293,544,332.56/19,770.72
  6. Step 6: Final answer
    x = 14,847.43

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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.