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Finding the Fourth Proportional to 12,746.74, 17,589.90 and 7,081.85

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Solution

The fourth proportional to 12,746.74, 17,589.90 and 7,081.85 is: 9,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.74 : 17,589.90 = 7,081.85 : x
  2. Step 2: Convert to fraction form
    12,746.74/17,589.90 = 7,081.85/x
  3. Step 3: Cross multiply
    12,746.74x = 17,589.90 × 7,081.85
  4. Step 4: Simplify right side
    12,746.74x = 124,569,033.32
  5. Step 5: Solve for x
    x = 124,569,033.32/12,746.74
  6. Step 6: Final answer
    x = 9,772.62

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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.