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Finding the Fourth Proportional to 13,781.71, 20,666.17 and 4,419.63

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Solution

The fourth proportional to 13,781.71, 20,666.17 and 4,419.63 is: 6,627.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,781.71 : 20,666.17 = 4,419.63 : x
  2. Step 2: Convert to fraction form
    13,781.71/20,666.17 = 4,419.63/x
  3. Step 3: Cross multiply
    13,781.71x = 20,666.17 × 4,419.63
  4. Step 4: Simplify right side
    13,781.71x = 91,336,830.44
  5. Step 5: Solve for x
    x = 91,336,830.44/13,781.71
  6. Step 6: Final answer
    x = 6,627.39

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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.