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Finding the Fourth Proportional to 16,646.57, 22,933.17 and 11,601.62

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Solution

The fourth proportional to 16,646.57, 22,933.17 and 11,601.62 is: 15,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646.57 : 22,933.17 = 11,601.62 : x
  2. Step 2: Convert to fraction form
    16,646.57/22,933.17 = 11,601.62/x
  3. Step 3: Cross multiply
    16,646.57x = 22,933.17 × 11,601.62
  4. Step 4: Simplify right side
    16,646.57x = 266,061,809.07
  5. Step 5: Solve for x
    x = 266,061,809.07/16,646.57
  6. Step 6: Final answer
    x = 15,982.99

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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.