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Finding the Fourth Proportional to 13,147.70, 19,717.29 and 4,380.57

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Solution

The fourth proportional to 13,147.70, 19,717.29 and 4,380.57 is: 6,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.70 : 19,717.29 = 4,380.57 : x
  2. Step 2: Convert to fraction form
    13,147.70/19,717.29 = 4,380.57/x
  3. Step 3: Cross multiply
    13,147.70x = 19,717.29 × 4,380.57
  4. Step 4: Simplify right side
    13,147.70x = 86,372,969.06
  5. Step 5: Solve for x
    x = 86,372,969.06/13,147.70
  6. Step 6: Final answer
    x = 6,569.44

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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.