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Finding the Fourth Proportional to 19,852.17, 27,395.84 and 10,777.31

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Solution

The fourth proportional to 19,852.17, 27,395.84 and 10,777.31 is: 14,872.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,852.17 : 27,395.84 = 10,777.31 : x
  2. Step 2: Convert to fraction form
    19,852.17/27,395.84 = 10,777.31/x
  3. Step 3: Cross multiply
    19,852.17x = 27,395.84 × 10,777.31
  4. Step 4: Simplify right side
    19,852.17x = 295,253,269.52
  5. Step 5: Solve for x
    x = 295,253,269.52/19,852.17
  6. Step 6: Final answer
    x = 14,872.59

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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.