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Finding the Fourth Proportional to 19,649.94, 27,116.24 and 10,697.28

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Solution

The fourth proportional to 19,649.94, 27,116.24 and 10,697.28 is: 14,761.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,649.94 : 27,116.24 = 10,697.28 : x
  2. Step 2: Convert to fraction form
    19,649.94/27,116.24 = 10,697.28/x
  3. Step 3: Cross multiply
    19,649.94x = 27,116.24 × 10,697.28
  4. Step 4: Simplify right side
    19,649.94x = 290,070,011.83
  5. Step 5: Solve for x
    x = 290,070,011.83/19,649.94
  6. Step 6: Final answer
    x = 14,761.88

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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.