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Finding the Fourth Proportional to 12,674.31, 17,490.42 and 7,009.30

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Solution

The fourth proportional to 12,674.31, 17,490.42 and 7,009.30 is: 9,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.31 : 17,490.42 = 7,009.30 : x
  2. Step 2: Convert to fraction form
    12,674.31/17,490.42 = 7,009.30/x
  3. Step 3: Cross multiply
    12,674.31x = 17,490.42 × 7,009.30
  4. Step 4: Simplify right side
    12,674.31x = 122,595,600.91
  5. Step 5: Solve for x
    x = 122,595,600.91/12,674.31
  6. Step 6: Final answer
    x = 9,672.76

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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.