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Finding the Fourth Proportional to 17,666.21, 24,382.82 and 11,698.13

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Solution

The fourth proportional to 17,666.21, 24,382.82 and 11,698.13 is: 16,145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,666.21 : 24,382.82 = 11,698.13 : x
  2. Step 2: Convert to fraction form
    17,666.21/24,382.82 = 11,698.13/x
  3. Step 3: Cross multiply
    17,666.21x = 24,382.82 × 11,698.13
  4. Step 4: Simplify right side
    17,666.21x = 285,233,339.64
  5. Step 5: Solve for x
    x = 285,233,339.64/17,666.21
  6. Step 6: Final answer
    x = 16,145.70

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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.