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Finding the Fourth Proportional to 13,147.70, 19,699.68 and 9,243.92

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Solution

The fourth proportional to 13,147.70, 19,699.68 and 9,243.92 is: 13,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.70 : 19,699.68 = 9,243.92 : x
  2. Step 2: Convert to fraction form
    13,147.70/19,699.68 = 9,243.92/x
  3. Step 3: Cross multiply
    13,147.70x = 19,699.68 × 9,243.92
  4. Step 4: Simplify right side
    13,147.70x = 182,102,265.95
  5. Step 5: Solve for x
    x = 182,102,265.95/13,147.70
  6. Step 6: Final answer
    x = 13,850.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.