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Finding the Fourth Proportional to 16,366.78, 22,586.31 and 9,293.36

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Solution

The fourth proportional to 16,366.78, 22,586.31 and 9,293.36 is: 12,824.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,366.78 : 22,586.31 = 9,293.36 : x
  2. Step 2: Convert to fraction form
    16,366.78/22,586.31 = 9,293.36/x
  3. Step 3: Cross multiply
    16,366.78x = 22,586.31 × 9,293.36
  4. Step 4: Simplify right side
    16,366.78x = 209,902,596.97
  5. Step 5: Solve for x
    x = 209,902,596.97/16,366.78
  6. Step 6: Final answer
    x = 12,824.92

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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.