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Finding the Fourth Proportional to 19,649.18, 27,116.17 and 10,696.86

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Solution

The fourth proportional to 19,649.18, 27,116.17 and 10,696.86 is: 14,761.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.18 : 27,116.17 = 10,696.86 : x
  2. Step 2: Convert to fraction form
    19,649.18/27,116.17 = 10,696.86/x
  3. Step 3: Cross multiply
    19,649.18x = 27,116.17 × 10,696.86
  4. Step 4: Simplify right side
    19,649.18x = 290,057,847.48
  5. Step 5: Solve for x
    x = 290,057,847.48/19,649.18
  6. Step 6: Final answer
    x = 14,761.83

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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.