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Finding the Fourth Proportional to 16,219.67, 22,383.15 and 9,146.10

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Solution

The fourth proportional to 16,219.67, 22,383.15 and 9,146.10 is: 12,621.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,219.67 : 22,383.15 = 9,146.10 : x
  2. Step 2: Convert to fraction form
    16,219.67/22,383.15 = 9,146.10/x
  3. Step 3: Cross multiply
    16,219.67x = 22,383.15 × 9,146.10
  4. Step 4: Simplify right side
    16,219.67x = 204,718,506.55
  5. Step 5: Solve for x
    x = 204,718,506.55/16,219.67
  6. Step 6: Final answer
    x = 12,621.62

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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.