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Finding the Fourth Proportional to 12,584.40, 17,367.44 and 7,548.82

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Solution

The fourth proportional to 12,584.40, 17,367.44 and 7,548.82 is: 10,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.40 : 17,367.44 = 7,548.82 : x
  2. Step 2: Convert to fraction form
    12,584.40/17,367.44 = 7,548.82/x
  3. Step 3: Cross multiply
    12,584.40x = 17,367.44 × 7,548.82
  4. Step 4: Simplify right side
    12,584.40x = 131,103,678.42
  5. Step 5: Solve for x
    x = 131,103,678.42/12,584.40
  6. Step 6: Final answer
    x = 10,417.95

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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.