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Finding the Fourth Proportional to 13,115.79, 19,680.50 and 5,216.60

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Solution

The fourth proportional to 13,115.79, 19,680.50 and 5,216.60 is: 7,827.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115.79 : 19,680.50 = 5,216.60 : x
  2. Step 2: Convert to fraction form
    13,115.79/19,680.50 = 5,216.60/x
  3. Step 3: Cross multiply
    13,115.79x = 19,680.50 × 5,216.60
  4. Step 4: Simplify right side
    13,115.79x = 102,665,358.54
  5. Step 5: Solve for x
    x = 102,665,358.54/13,115.79
  6. Step 6: Final answer
    x = 7,827.62

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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.