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Finding the Fourth Proportional to 16,024.20, 24,022.38 and 7,700.04

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Solution

The fourth proportional to 16,024.20, 24,022.38 and 7,700.04 is: 11,543.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.20 : 24,022.38 = 7,700.04 : x
  2. Step 2: Convert to fraction form
    16,024.20/24,022.38 = 7,700.04/x
  3. Step 3: Cross multiply
    16,024.20x = 24,022.38 × 7,700.04
  4. Step 4: Simplify right side
    16,024.20x = 184,973,286.90
  5. Step 5: Solve for x
    x = 184,973,286.90/16,024.20
  6. Step 6: Final answer
    x = 11,543.37

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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.