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Finding the Fourth Proportional to 12,694.40, 17,515.68 and 7,104.32

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Solution

The fourth proportional to 12,694.40, 17,515.68 and 7,104.32 is: 9,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.40 : 17,515.68 = 7,104.32 : x
  2. Step 2: Convert to fraction form
    12,694.40/17,515.68 = 7,104.32/x
  3. Step 3: Cross multiply
    12,694.40x = 17,515.68 × 7,104.32
  4. Step 4: Simplify right side
    12,694.40x = 124,436,995.74
  5. Step 5: Solve for x
    x = 124,436,995.74/12,694.40
  6. Step 6: Final answer
    x = 9,802.51

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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.