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Finding the Fourth Proportional to 12,694.63, 17,518.14 and 7,029.62

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Solution

The fourth proportional to 12,694.63, 17,518.14 and 7,029.62 is: 9,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.63 : 17,518.14 = 7,029.62 : x
  2. Step 2: Convert to fraction form
    12,694.63/17,518.14 = 7,029.62/x
  3. Step 3: Cross multiply
    12,694.63x = 17,518.14 × 7,029.62
  4. Step 4: Simplify right side
    12,694.63x = 123,145,867.31
  5. Step 5: Solve for x
    x = 123,145,867.31/12,694.63
  6. Step 6: Final answer
    x = 9,700.63

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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.