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Finding the Fourth Proportional to 16,326.85, 22,529.91 and 9,156.23

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Solution

The fourth proportional to 16,326.85, 22,529.91 and 9,156.23 is: 12,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326.85 : 22,529.91 = 9,156.23 : x
  2. Step 2: Convert to fraction form
    16,326.85/22,529.91 = 9,156.23/x
  3. Step 3: Cross multiply
    16,326.85x = 22,529.91 × 9,156.23
  4. Step 4: Simplify right side
    16,326.85x = 206,289,037.84
  5. Step 5: Solve for x
    x = 206,289,037.84/16,326.85
  6. Step 6: Final answer
    x = 12,634.96

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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.