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Finding the Fourth Proportional to 12,674.43, 17,490.22 and 7,570.81

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Solution

The fourth proportional to 12,674.43, 17,490.22 and 7,570.81 is: 10,447.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.43 : 17,490.22 = 7,570.81 : x
  2. Step 2: Convert to fraction form
    12,674.43/17,490.22 = 7,570.81/x
  3. Step 3: Cross multiply
    12,674.43x = 17,490.22 × 7,570.81
  4. Step 4: Simplify right side
    12,674.43x = 132,415,132.48
  5. Step 5: Solve for x
    x = 132,415,132.48/12,674.43
  6. Step 6: Final answer
    x = 10,447.42

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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.