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Finding the Fourth Proportional to 13,680.84, 20,518.25 and 3,817.47

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Solution

The fourth proportional to 13,680.84, 20,518.25 and 3,817.47 is: 5,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,680.84 : 20,518.25 = 3,817.47 : x
  2. Step 2: Convert to fraction form
    13,680.84/20,518.25 = 3,817.47/x
  3. Step 3: Cross multiply
    13,680.84x = 20,518.25 × 3,817.47
  4. Step 4: Simplify right side
    13,680.84x = 78,327,784.74
  5. Step 5: Solve for x
    x = 78,327,784.74/13,680.84
  6. Step 6: Final answer
    x = 5,725.36

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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.