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Finding the Fourth Proportional to 12,746.08, 17,589.02 and 7,081.21

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Solution

The fourth proportional to 12,746.08, 17,589.02 and 7,081.21 is: 9,771.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746.08 : 17,589.02 = 7,081.21 : x
  2. Step 2: Convert to fraction form
    12,746.08/17,589.02 = 7,081.21/x
  3. Step 3: Cross multiply
    12,746.08x = 17,589.02 × 7,081.21
  4. Step 4: Simplify right side
    12,746.08x = 124,551,544.31
  5. Step 5: Solve for x
    x = 124,551,544.31/12,746.08
  6. Step 6: Final answer
    x = 9,771.75

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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.