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Finding the Fourth Proportional to 12,584.29, 17,364.93 and 7,548.73

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Solution

The fourth proportional to 12,584.29, 17,364.93 and 7,548.73 is: 10,416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.29 : 17,364.93 = 7,548.73 : x
  2. Step 2: Convert to fraction form
    12,584.29/17,364.93 = 7,548.73/x
  3. Step 3: Cross multiply
    12,584.29x = 17,364.93 × 7,548.73
  4. Step 4: Simplify right side
    12,584.29x = 131,083,168.04
  5. Step 5: Solve for x
    x = 131,083,168.04/12,584.29
  6. Step 6: Final answer
    x = 10,416.41

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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.