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Finding the Fourth Proportional to 19,700.20, 29,524.65 and 7,999.75

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Solution

The fourth proportional to 19,700.20, 29,524.65 and 7,999.75 is: 11,989.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.20 : 29,524.65 = 7,999.75 : x
  2. Step 2: Convert to fraction form
    19,700.20/29,524.65 = 7,999.75/x
  3. Step 3: Cross multiply
    19,700.20x = 29,524.65 × 7,999.75
  4. Step 4: Simplify right side
    19,700.20x = 236,189,818.84
  5. Step 5: Solve for x
    x = 236,189,818.84/19,700.20
  6. Step 6: Final answer
    x = 11,989.21

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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.