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Finding the Fourth Proportional to 11,017.92, 16,506.81 and 9,836.94

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Solution

The fourth proportional to 11,017.92, 16,506.81 and 9,836.94 is: 14,737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.92 : 16,506.81 = 9,836.94 : x
  2. Step 2: Convert to fraction form
    11,017.92/16,506.81 = 9,836.94/x
  3. Step 3: Cross multiply
    11,017.92x = 16,506.81 × 9,836.94
  4. Step 4: Simplify right side
    11,017.92x = 162,376,499.56
  5. Step 5: Solve for x
    x = 162,376,499.56/11,017.92
  6. Step 6: Final answer
    x = 14,737.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.