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Finding the Fourth Proportional to 19,649.32, 27,116.17 and 10,696.79

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Solution

The fourth proportional to 19,649.32, 27,116.17 and 10,696.79 is: 14,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.32 : 27,116.17 = 10,696.79 : x
  2. Step 2: Convert to fraction form
    19,649.32/27,116.17 = 10,696.79/x
  3. Step 3: Cross multiply
    19,649.32x = 27,116.17 × 10,696.79
  4. Step 4: Simplify right side
    19,649.32x = 290,056,017.14
  5. Step 5: Solve for x
    x = 290,056,017.14/19,649.32
  6. Step 6: Final answer
    x = 14,761.63

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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.