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Finding the Fourth Proportional to 17,585.66, 26,385.78 and 8,218.82

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Solution

The fourth proportional to 17,585.66, 26,385.78 and 8,218.82 is: 12,331.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,585.66 : 26,385.78 = 8,218.82 : x
  2. Step 2: Convert to fraction form
    17,585.66/26,385.78 = 8,218.82/x
  3. Step 3: Cross multiply
    17,585.66x = 26,385.78 × 8,218.82
  4. Step 4: Simplify right side
    17,585.66x = 216,859,976.38
  5. Step 5: Solve for x
    x = 216,859,976.38/17,585.66
  6. Step 6: Final answer
    x = 12,331.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.