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Finding the Fourth Proportional to 16,288.96, 22,478.88 and 9,664.96

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Solution

The fourth proportional to 16,288.96, 22,478.88 and 9,664.96 is: 13,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,288.96 : 22,478.88 = 9,664.96 : x
  2. Step 2: Convert to fraction form
    16,288.96/22,478.88 = 9,664.96/x
  3. Step 3: Cross multiply
    16,288.96x = 22,478.88 × 9,664.96
  4. Step 4: Simplify right side
    16,288.96x = 217,257,476.04
  5. Step 5: Solve for x
    x = 217,257,476.04/16,288.96
  6. Step 6: Final answer
    x = 13,337.71

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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.