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Finding the Fourth Proportional to 13,932, 20,896.32 and 3,543.84

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Solution

The fourth proportional to 13,932, 20,896.32 and 3,543.84 is: 5,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 20,896.32 = 3,543.84 : x
  2. Step 2: Convert to fraction form
    13,932/20,896.32 = 3,543.84/x
  3. Step 3: Cross multiply
    13,932x = 20,896.32 × 3,543.84
  4. Step 4: Simplify right side
    13,932x = 74,053,214.67
  5. Step 5: Solve for x
    x = 74,053,214.67/13,932
  6. Step 6: Final answer
    x = 5,315.33

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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.