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Finding the Fourth Proportional to 13,744.71, 20,617.07 and 7,897.59

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Solution

The fourth proportional to 13,744.71, 20,617.07 and 7,897.59 is: 11,846.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,744.71 : 20,617.07 = 7,897.59 : x
  2. Step 2: Convert to fraction form
    13,744.71/20,617.07 = 7,897.59/x
  3. Step 3: Cross multiply
    13,744.71x = 20,617.07 × 7,897.59
  4. Step 4: Simplify right side
    13,744.71x = 162,825,126.37
  5. Step 5: Solve for x
    x = 162,825,126.37/13,744.71
  6. Step 6: Final answer
    x = 11,846.39

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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.