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Finding the Fourth Proportional to 16,163.66, 22,306.29 and 9,788.90

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Solution

The fourth proportional to 16,163.66, 22,306.29 and 9,788.90 is: 13,508.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,163.66 : 22,306.29 = 9,788.90 : x
  2. Step 2: Convert to fraction form
    16,163.66/22,306.29 = 9,788.90/x
  3. Step 3: Cross multiply
    16,163.66x = 22,306.29 × 9,788.90
  4. Step 4: Simplify right side
    16,163.66x = 218,353,977.59
  5. Step 5: Solve for x
    x = 218,353,977.59/16,163.66
  6. Step 6: Final answer
    x = 13,508.95

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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.