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Finding the Fourth Proportional to 13,742.79, 20,611.08 and 8,197.71

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Solution

The fourth proportional to 13,742.79, 20,611.08 and 8,197.71 is: 12,294.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,742.79 : 20,611.08 = 8,197.71 : x
  2. Step 2: Convert to fraction form
    13,742.79/20,611.08 = 8,197.71/x
  3. Step 3: Cross multiply
    13,742.79x = 20,611.08 × 8,197.71
  4. Step 4: Simplify right side
    13,742.79x = 168,963,656.63
  5. Step 5: Solve for x
    x = 168,963,656.63/13,742.79
  6. Step 6: Final answer
    x = 12,294.71

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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.