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Finding the Fourth Proportional to 11,683.74, 16,124.22 and 10,896.42

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Solution

The fourth proportional to 11,683.74, 16,124.22 and 10,896.42 is: 15,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.74 : 16,124.22 = 10,896.42 : x
  2. Step 2: Convert to fraction form
    11,683.74/16,124.22 = 10,896.42/x
  3. Step 3: Cross multiply
    11,683.74x = 16,124.22 × 10,896.42
  4. Step 4: Simplify right side
    11,683.74x = 175,696,273.29
  5. Step 5: Solve for x
    x = 175,696,273.29/11,683.74
  6. Step 6: Final answer
    x = 15,037.67

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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.