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Finding the Fourth Proportional to 16,096.30, 22,212.85 and 9,808.68

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Solution

The fourth proportional to 16,096.30, 22,212.85 and 9,808.68 is: 13,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,096.30 : 22,212.85 = 9,808.68 : x
  2. Step 2: Convert to fraction form
    16,096.30/22,212.85 = 9,808.68/x
  3. Step 3: Cross multiply
    16,096.30x = 22,212.85 × 9,808.68
  4. Step 4: Simplify right side
    16,096.30x = 217,878,737.54
  5. Step 5: Solve for x
    x = 217,878,737.54/16,096.30
  6. Step 6: Final answer
    x = 13,535.95

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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.