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Finding the Fourth Proportional to 11,705.22, 17,472.96 and 10,838.07

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Solution

The fourth proportional to 11,705.22, 17,472.96 and 10,838.07 is: 16,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.22 : 17,472.96 = 10,838.07 : x
  2. Step 2: Convert to fraction form
    11,705.22/17,472.96 = 10,838.07/x
  3. Step 3: Cross multiply
    11,705.22x = 17,472.96 × 10,838.07
  4. Step 4: Simplify right side
    11,705.22x = 189,373,163.59
  5. Step 5: Solve for x
    x = 189,373,163.59/11,705.22
  6. Step 6: Final answer
    x = 16,178.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.