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Finding the Fourth Proportional to 12,777.29, 17,635.28 and 7,473.41

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Solution

The fourth proportional to 12,777.29, 17,635.28 and 7,473.41 is: 10,314.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.29 : 17,635.28 = 7,473.41 : x
  2. Step 2: Convert to fraction form
    12,777.29/17,635.28 = 7,473.41/x
  3. Step 3: Cross multiply
    12,777.29x = 17,635.28 × 7,473.41
  4. Step 4: Simplify right side
    12,777.29x = 131,795,552.36
  5. Step 5: Solve for x
    x = 131,795,552.36/12,777.29
  6. Step 6: Final answer
    x = 10,314.83

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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.