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Finding the Fourth Proportional to 13,461.60, 20,194.71 and 5,142.36

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Solution

The fourth proportional to 13,461.60, 20,194.71 and 5,142.36 is: 7,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.60 : 20,194.71 = 5,142.36 : x
  2. Step 2: Convert to fraction form
    13,461.60/20,194.71 = 5,142.36/x
  3. Step 3: Cross multiply
    13,461.60x = 20,194.71 × 5,142.36
  4. Step 4: Simplify right side
    13,461.60x = 103,848,468.92
  5. Step 5: Solve for x
    x = 103,848,468.92/13,461.60
  6. Step 6: Final answer
    x = 7,714.42

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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.