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Finding the Fourth Proportional to 15,730.92, 21,692.16 and 11,745.72

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Solution

The fourth proportional to 15,730.92, 21,692.16 and 11,745.72 is: 16,196.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,730.92 : 21,692.16 = 11,745.72 : x
  2. Step 2: Convert to fraction form
    15,730.92/21,692.16 = 11,745.72/x
  3. Step 3: Cross multiply
    15,730.92x = 21,692.16 × 11,745.72
  4. Step 4: Simplify right side
    15,730.92x = 254,790,037.56
  5. Step 5: Solve for x
    x = 254,790,037.56/15,730.92
  6. Step 6: Final answer
    x = 16,196.77

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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.