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Finding the Fourth Proportional to 13,001.14, 17,941.15 and 8,223.69

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Solution

The fourth proportional to 13,001.14, 17,941.15 and 8,223.69 is: 11,348.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,001.14 : 17,941.15 = 8,223.69 : x
  2. Step 2: Convert to fraction form
    13,001.14/17,941.15 = 8,223.69/x
  3. Step 3: Cross multiply
    13,001.14x = 17,941.15 × 8,223.69
  4. Step 4: Simplify right side
    13,001.14x = 147,542,455.84
  5. Step 5: Solve for x
    x = 147,542,455.84/13,001.14
  6. Step 6: Final answer
    x = 11,348.42

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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.