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Finding the Fourth Proportional to 13,461.83, 20,193.42 and 5,142.57

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Solution

The fourth proportional to 13,461.83, 20,193.42 and 5,142.57 is: 7,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,461.83 : 20,193.42 = 5,142.57 : x
  2. Step 2: Convert to fraction form
    13,461.83/20,193.42 = 5,142.57/x
  3. Step 3: Cross multiply
    13,461.83x = 20,193.42 × 5,142.57
  4. Step 4: Simplify right side
    13,461.83x = 103,845,974.92
  5. Step 5: Solve for x
    x = 103,845,974.92/13,461.83
  6. Step 6: Final answer
    x = 7,714.11

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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.