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Finding the Fourth Proportional to 16,478.86, 22,736.70 and 9,764.14

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Solution

The fourth proportional to 16,478.86, 22,736.70 and 9,764.14 is: 13,472.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,478.86 : 22,736.70 = 9,764.14 : x
  2. Step 2: Convert to fraction form
    16,478.86/22,736.70 = 9,764.14/x
  3. Step 3: Cross multiply
    16,478.86x = 22,736.70 × 9,764.14
  4. Step 4: Simplify right side
    16,478.86x = 222,004,321.94
  5. Step 5: Solve for x
    x = 222,004,321.94/16,478.86
  6. Step 6: Final answer
    x = 13,472.07

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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.