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Finding the Fourth Proportional to 15,506.62, 23,257.86 and 4,414.30

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Solution

The fourth proportional to 15,506.62, 23,257.86 and 4,414.30 is: 6,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.62 : 23,257.86 = 4,414.30 : x
  2. Step 2: Convert to fraction form
    15,506.62/23,257.86 = 4,414.30/x
  3. Step 3: Cross multiply
    15,506.62x = 23,257.86 × 4,414.30
  4. Step 4: Simplify right side
    15,506.62x = 102,667,171.40
  5. Step 5: Solve for x
    x = 102,667,171.40/15,506.62
  6. Step 6: Final answer
    x = 6,620.86

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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.