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Finding the Fourth Proportional to 12,694.34, 17,518.74 and 7,029.09

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Solution

The fourth proportional to 12,694.34, 17,518.74 and 7,029.09 is: 9,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,694.34 : 17,518.74 = 7,029.09 : x
  2. Step 2: Convert to fraction form
    12,694.34/17,518.74 = 7,029.09/x
  3. Step 3: Cross multiply
    12,694.34x = 17,518.74 × 7,029.09
  4. Step 4: Simplify right side
    12,694.34x = 123,140,800.15
  5. Step 5: Solve for x
    x = 123,140,800.15/12,694.34
  6. Step 6: Final answer
    x = 9,700.45

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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.