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Finding the Fourth Proportional to 12,568.27, 17,349.06 and 9,433.57

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Solution

The fourth proportional to 12,568.27, 17,349.06 and 9,433.57 is: 13,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568.27 : 17,349.06 = 9,433.57 : x
  2. Step 2: Convert to fraction form
    12,568.27/17,349.06 = 9,433.57/x
  3. Step 3: Cross multiply
    12,568.27x = 17,349.06 × 9,433.57
  4. Step 4: Simplify right side
    12,568.27x = 163,663,571.94
  5. Step 5: Solve for x
    x = 163,663,571.94/12,568.27
  6. Step 6: Final answer
    x = 13,021.96

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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.