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Finding the Fourth Proportional to 19,855.10, 27,400.36 and 10,902.98

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Solution

The fourth proportional to 19,855.10, 27,400.36 and 10,902.98 is: 15,046.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,855.10 : 27,400.36 = 10,902.98 : x
  2. Step 2: Convert to fraction form
    19,855.10/27,400.36 = 10,902.98/x
  3. Step 3: Cross multiply
    19,855.10x = 27,400.36 × 10,902.98
  4. Step 4: Simplify right side
    19,855.10x = 298,745,577.07
  5. Step 5: Solve for x
    x = 298,745,577.07/19,855.10
  6. Step 6: Final answer
    x = 15,046.29

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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.