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Finding the Fourth Proportional to 13,782.40, 20,674.39 and 3,920.91

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Solution

The fourth proportional to 13,782.40, 20,674.39 and 3,920.91 is: 5,881.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.40 : 20,674.39 = 3,920.91 : x
  2. Step 2: Convert to fraction form
    13,782.40/20,674.39 = 3,920.91/x
  3. Step 3: Cross multiply
    13,782.40x = 20,674.39 × 3,920.91
  4. Step 4: Simplify right side
    13,782.40x = 81,062,342.52
  5. Step 5: Solve for x
    x = 81,062,342.52/13,782.40
  6. Step 6: Final answer
    x = 5,881.58

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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.