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Finding the Fourth Proportional to 16,161.83, 24,232.82 and 6,289.61

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Solution

The fourth proportional to 16,161.83, 24,232.82 and 6,289.61 is: 9,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.83 : 24,232.82 = 6,289.61 : x
  2. Step 2: Convert to fraction form
    16,161.83/24,232.82 = 6,289.61/x
  3. Step 3: Cross multiply
    16,161.83x = 24,232.82 × 6,289.61
  4. Step 4: Simplify right side
    16,161.83x = 152,415,016.13
  5. Step 5: Solve for x
    x = 152,415,016.13/16,161.83
  6. Step 6: Final answer
    x = 9,430.56

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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.