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Finding the Fourth Proportional to 12,746.41, 17,589.93 and 7,081.17

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Solution

The fourth proportional to 12,746.41, 17,589.93 and 7,081.17 is: 9,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.41 : 17,589.93 = 7,081.17 : x
  2. Step 2: Convert to fraction form
    12,746.41/17,589.93 = 7,081.17/x
  3. Step 3: Cross multiply
    12,746.41x = 17,589.93 × 7,081.17
  4. Step 4: Simplify right side
    12,746.41x = 124,557,350.79
  5. Step 5: Solve for x
    x = 124,557,350.79/12,746.41
  6. Step 6: Final answer
    x = 9,771.95

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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.