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Finding the Fourth Proportional to 12,584.44, 17,367.43 and 7,548.87

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Solution

The fourth proportional to 12,584.44, 17,367.43 and 7,548.87 is: 10,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.44 : 17,367.43 = 7,548.87 : x
  2. Step 2: Convert to fraction form
    12,584.44/17,367.43 = 7,548.87/x
  3. Step 3: Cross multiply
    12,584.44x = 17,367.43 × 7,548.87
  4. Step 4: Simplify right side
    12,584.44x = 131,104,390.14
  5. Step 5: Solve for x
    x = 131,104,390.14/12,584.44
  6. Step 6: Final answer
    x = 10,417.98

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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.