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Finding the Fourth Proportional to 16,614.48, 22,927.52 and 9,162

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Solution

The fourth proportional to 16,614.48, 22,927.52 and 9,162 is: 12,643.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,614.48 : 22,927.52 = 9,162 : x
  2. Step 2: Convert to fraction form
    16,614.48/22,927.52 = 9,162/x
  3. Step 3: Cross multiply
    16,614.48x = 22,927.52 × 9,162
  4. Step 4: Simplify right side
    16,614.48x = 210,061,938.24
  5. Step 5: Solve for x
    x = 210,061,938.24/16,614.48
  6. Step 6: Final answer
    x = 12,643.31

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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.