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Finding the Fourth Proportional to 17,687.25, 26,506.71 and 9,778.05

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Solution

The fourth proportional to 17,687.25, 26,506.71 and 9,778.05 is: 14,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.25 : 26,506.71 = 9,778.05 : x
  2. Step 2: Convert to fraction form
    17,687.25/26,506.71 = 9,778.05/x
  3. Step 3: Cross multiply
    17,687.25x = 26,506.71 × 9,778.05
  4. Step 4: Simplify right side
    17,687.25x = 259,183,935.72
  5. Step 5: Solve for x
    x = 259,183,935.72/17,687.25
  6. Step 6: Final answer
    x = 14,653.72

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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.