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Finding the Fourth Proportional to 18,097.82, 24,974.70 and 10,140

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Solution

The fourth proportional to 18,097.82, 24,974.70 and 10,140 is: 13,993.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.82 : 24,974.70 = 10,140 : x
  2. Step 2: Convert to fraction form
    18,097.82/24,974.70 = 10,140/x
  3. Step 3: Cross multiply
    18,097.82x = 24,974.70 × 10,140
  4. Step 4: Simplify right side
    18,097.82x = 253,243,458
  5. Step 5: Solve for x
    x = 253,243,458/18,097.82
  6. Step 6: Final answer
    x = 13,993.04

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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.