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Finding the Fourth Proportional to 12,711.02, 17,542.73 and 7,404.80

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Solution

The fourth proportional to 12,711.02, 17,542.73 and 7,404.80 is: 10,219.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.02 : 17,542.73 = 7,404.80 : x
  2. Step 2: Convert to fraction form
    12,711.02/17,542.73 = 7,404.80/x
  3. Step 3: Cross multiply
    12,711.02x = 17,542.73 × 7,404.80
  4. Step 4: Simplify right side
    12,711.02x = 129,900,282.37
  5. Step 5: Solve for x
    x = 129,900,282.37/12,711.02
  6. Step 6: Final answer
    x = 10,219.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.