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Finding the Fourth Proportional to 16,096.62, 22,216.10 and 9,386.18

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Solution

The fourth proportional to 16,096.62, 22,216.10 and 9,386.18 is: 12,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.62 : 22,216.10 = 9,386.18 : x
  2. Step 2: Convert to fraction form
    16,096.62/22,216.10 = 9,386.18/x
  3. Step 3: Cross multiply
    16,096.62x = 22,216.10 × 9,386.18
  4. Step 4: Simplify right side
    16,096.62x = 208,524,313.50
  5. Step 5: Solve for x
    x = 208,524,313.50/16,096.62
  6. Step 6: Final answer
    x = 12,954.54

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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.