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Finding the Fourth Proportional to 16,162.35, 24,242.77 and 5,634.78

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Solution

The fourth proportional to 16,162.35, 24,242.77 and 5,634.78 is: 8,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,162.35 : 24,242.77 = 5,634.78 : x
  2. Step 2: Convert to fraction form
    16,162.35/24,242.77 = 5,634.78/x
  3. Step 3: Cross multiply
    16,162.35x = 24,242.77 × 5,634.78
  4. Step 4: Simplify right side
    16,162.35x = 136,602,675.54
  5. Step 5: Solve for x
    x = 136,602,675.54/16,162.35
  6. Step 6: Final answer
    x = 8,451.91

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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.