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Finding the Fourth Proportional to 16,496.14, 22,764.10 and 9,777.78

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Solution

The fourth proportional to 16,496.14, 22,764.10 and 9,777.78 is: 13,493.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.14 : 22,764.10 = 9,777.78 : x
  2. Step 2: Convert to fraction form
    16,496.14/22,764.10 = 9,777.78/x
  3. Step 3: Cross multiply
    16,496.14x = 22,764.10 × 9,777.78
  4. Step 4: Simplify right side
    16,496.14x = 222,582,361.70
  5. Step 5: Solve for x
    x = 222,582,361.70/16,496.14
  6. Step 6: Final answer
    x = 13,493.00

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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.