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Finding the Fourth Proportional to 13,681.88, 20,522.52 and 3,820.94

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Solution

The fourth proportional to 13,681.88, 20,522.52 and 3,820.94 is: 5,731.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.88 : 20,522.52 = 3,820.94 : x
  2. Step 2: Convert to fraction form
    13,681.88/20,522.52 = 3,820.94/x
  3. Step 3: Cross multiply
    13,681.88x = 20,522.52 × 3,820.94
  4. Step 4: Simplify right side
    13,681.88x = 78,415,317.57
  5. Step 5: Solve for x
    x = 78,415,317.57/13,681.88
  6. Step 6: Final answer
    x = 5,731.33

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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.