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Finding the Fourth Proportional to 13,945.40, 20,917.97 and 3,415.47

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Solution

The fourth proportional to 13,945.40, 20,917.97 and 3,415.47 is: 5,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,945.40 : 20,917.97 = 3,415.47 : x
  2. Step 2: Convert to fraction form
    13,945.40/20,917.97 = 3,415.47/x
  3. Step 3: Cross multiply
    13,945.40x = 20,917.97 × 3,415.47
  4. Step 4: Simplify right side
    13,945.40x = 71,444,681.92
  5. Step 5: Solve for x
    x = 71,444,681.92/13,945.40
  6. Step 6: Final answer
    x = 5,123.17

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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.