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Finding the Fourth Proportional to 11,027.15, 16,562 and 9,449.45

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Solution

The fourth proportional to 11,027.15, 16,562 and 9,449.45 is: 14,192.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,027.15 : 16,562 = 9,449.45 : x
  2. Step 2: Convert to fraction form
    11,027.15/16,562 = 9,449.45/x
  3. Step 3: Cross multiply
    11,027.15x = 16,562 × 9,449.45
  4. Step 4: Simplify right side
    11,027.15x = 156,501,790.90
  5. Step 5: Solve for x
    x = 156,501,790.90/11,027.15
  6. Step 6: Final answer
    x = 14,192.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.