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Finding the Fourth Proportional to 15,488.19, 21,372.87 and 8,414.58

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Solution

The fourth proportional to 15,488.19, 21,372.87 and 8,414.58 is: 11,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,488.19 : 21,372.87 = 8,414.58 : x
  2. Step 2: Convert to fraction form
    15,488.19/21,372.87 = 8,414.58/x
  3. Step 3: Cross multiply
    15,488.19x = 21,372.87 × 8,414.58
  4. Step 4: Simplify right side
    15,488.19x = 179,843,724.44
  5. Step 5: Solve for x
    x = 179,843,724.44/15,488.19
  6. Step 6: Final answer
    x = 11,611.67

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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.