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Finding the Fourth Proportional to 16,234.52, 22,403.60 and 8,782.52

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Solution

The fourth proportional to 16,234.52, 22,403.60 and 8,782.52 is: 12,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.52 : 22,403.60 = 8,782.52 : x
  2. Step 2: Convert to fraction form
    16,234.52/22,403.60 = 8,782.52/x
  3. Step 3: Cross multiply
    16,234.52x = 22,403.60 × 8,782.52
  4. Step 4: Simplify right side
    16,234.52x = 196,760,065.07
  5. Step 5: Solve for x
    x = 196,760,065.07/16,234.52
  6. Step 6: Final answer
    x = 12,119.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.