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Finding the Fourth Proportional to 16,822.34, 23,216.64 and 9,269.44

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Solution

The fourth proportional to 16,822.34, 23,216.64 and 9,269.44 is: 12,792.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.34 : 23,216.64 = 9,269.44 : x
  2. Step 2: Convert to fraction form
    16,822.34/23,216.64 = 9,269.44/x
  3. Step 3: Cross multiply
    16,822.34x = 23,216.64 × 9,269.44
  4. Step 4: Simplify right side
    16,822.34x = 215,205,251.48
  5. Step 5: Solve for x
    x = 215,205,251.48/16,822.34
  6. Step 6: Final answer
    x = 12,792.82

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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.