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Finding the Fourth Proportional to 12,112.92, 16,709.06 and 11,256.66

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Solution

The fourth proportional to 12,112.92, 16,709.06 and 11,256.66 is: 15,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112.92 : 16,709.06 = 11,256.66 : x
  2. Step 2: Convert to fraction form
    12,112.92/16,709.06 = 11,256.66/x
  3. Step 3: Cross multiply
    12,112.92x = 16,709.06 × 11,256.66
  4. Step 4: Simplify right side
    12,112.92x = 188,088,235.48
  5. Step 5: Solve for x
    x = 188,088,235.48/12,112.92
  6. Step 6: Final answer
    x = 15,527.90

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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.