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Finding the Fourth Proportional to 15,584.58, 21,506.82 and 8,511.38

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Solution

The fourth proportional to 15,584.58, 21,506.82 and 8,511.38 is: 11,745.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,584.58 : 21,506.82 = 8,511.38 : x
  2. Step 2: Convert to fraction form
    15,584.58/21,506.82 = 8,511.38/x
  3. Step 3: Cross multiply
    15,584.58x = 21,506.82 × 8,511.38
  4. Step 4: Simplify right side
    15,584.58x = 183,052,717.61
  5. Step 5: Solve for x
    x = 183,052,717.61/15,584.58
  6. Step 6: Final answer
    x = 11,745.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.