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Finding the Fourth Proportional to 12,694.32, 17,516.52 and 7,105.32

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Solution

The fourth proportional to 12,694.32, 17,516.52 and 7,105.32 is: 9,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.32 : 17,516.52 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    12,694.32/17,516.52 = 7,105.32/x
  3. Step 3: Cross multiply
    12,694.32x = 17,516.52 × 7,105.32
  4. Step 4: Simplify right side
    12,694.32x = 124,460,479.89
  5. Step 5: Solve for x
    x = 124,460,479.89/12,694.32
  6. Step 6: Final answer
    x = 9,804.42

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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.