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Finding the Fourth Proportional to 18,098.82, 24,976.08 and 10,141

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Solution

The fourth proportional to 18,098.82, 24,976.08 and 10,141 is: 13,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,098.82 : 24,976.08 = 10,141 : x
  2. Step 2: Convert to fraction form
    18,098.82/24,976.08 = 10,141/x
  3. Step 3: Cross multiply
    18,098.82x = 24,976.08 × 10,141
  4. Step 4: Simplify right side
    18,098.82x = 253,282,427.28
  5. Step 5: Solve for x
    x = 253,282,427.28/18,098.82
  6. Step 6: Final answer
    x = 13,994.42

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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.