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Finding the Fourth Proportional to 18,097.74, 24,974.64 and 10,140.12

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Solution

The fourth proportional to 18,097.74, 24,974.64 and 10,140.12 is: 13,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.74 : 24,974.64 = 10,140.12 : x
  2. Step 2: Convert to fraction form
    18,097.74/24,974.64 = 10,140.12/x
  3. Step 3: Cross multiply
    18,097.74x = 24,974.64 × 10,140.12
  4. Step 4: Simplify right side
    18,097.74x = 253,245,846.56
  5. Step 5: Solve for x
    x = 253,245,846.56/18,097.74
  6. Step 6: Final answer
    x = 13,993.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.