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Finding the Fourth Proportional to 16,234.69, 22,403.96 and 9,161.57

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Solution

The fourth proportional to 16,234.69, 22,403.96 and 9,161.57 is: 12,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.69 : 22,403.96 = 9,161.57 : x
  2. Step 2: Convert to fraction form
    16,234.69/22,403.96 = 9,161.57/x
  3. Step 3: Cross multiply
    16,234.69x = 22,403.96 × 9,161.57
  4. Step 4: Simplify right side
    16,234.69x = 205,255,447.82
  5. Step 5: Solve for x
    x = 205,255,447.82/16,234.69
  6. Step 6: Final answer
    x = 12,643.02

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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.