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Finding the Fourth Proportional to 16,416.29, 22,651.84 and 9,342.83

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Solution

The fourth proportional to 16,416.29, 22,651.84 and 9,342.83 is: 12,891.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416.29 : 22,651.84 = 9,342.83 : x
  2. Step 2: Convert to fraction form
    16,416.29/22,651.84 = 9,342.83/x
  3. Step 3: Cross multiply
    16,416.29x = 22,651.84 × 9,342.83
  4. Step 4: Simplify right side
    16,416.29x = 211,632,290.31
  5. Step 5: Solve for x
    x = 211,632,290.31/16,416.29
  6. Step 6: Final answer
    x = 12,891.60

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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.