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Finding the Fourth Proportional to 12,778.74, 17,635.86 and 7,473.24

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Solution

The fourth proportional to 12,778.74, 17,635.86 and 7,473.24 is: 10,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778.74 : 17,635.86 = 7,473.24 : x
  2. Step 2: Convert to fraction form
    12,778.74/17,635.86 = 7,473.24/x
  3. Step 3: Cross multiply
    12,778.74x = 17,635.86 × 7,473.24
  4. Step 4: Simplify right side
    12,778.74x = 131,797,014.39
  5. Step 5: Solve for x
    x = 131,797,014.39/12,778.74
  6. Step 6: Final answer
    x = 10,313.77

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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.