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Finding the Fourth Proportional to 17,660.19, 24,356.96 and 11,616.63

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Solution

The fourth proportional to 17,660.19, 24,356.96 and 11,616.63 is: 16,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,660.19 : 24,356.96 = 11,616.63 : x
  2. Step 2: Convert to fraction form
    17,660.19/24,356.96 = 11,616.63/x
  3. Step 3: Cross multiply
    17,660.19x = 24,356.96 × 11,616.63
  4. Step 4: Simplify right side
    17,660.19x = 282,945,873.59
  5. Step 5: Solve for x
    x = 282,945,873.59/17,660.19
  6. Step 6: Final answer
    x = 16,021.68

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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.