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Finding the Fourth Proportional to 16,123.92, 22,340.61 and 15,774

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Solution

The fourth proportional to 16,123.92, 22,340.61 and 15,774 is: 21,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,123.92 : 22,340.61 = 15,774 : x
  2. Step 2: Convert to fraction form
    16,123.92/22,340.61 = 15,774/x
  3. Step 3: Cross multiply
    16,123.92x = 22,340.61 × 15,774
  4. Step 4: Simplify right side
    16,123.92x = 352,400,782.14
  5. Step 5: Solve for x
    x = 352,400,782.14/16,123.92
  6. Step 6: Final answer
    x = 21,855.78

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.