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Finding the Fourth Proportional to 24,813.62, 37,224.07 and 7,281.14

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Solution

The fourth proportional to 24,813.62, 37,224.07 and 7,281.14 is: 10,922.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,813.62 : 37,224.07 = 7,281.14 : x
  2. Step 2: Convert to fraction form
    24,813.62/37,224.07 = 7,281.14/x
  3. Step 3: Cross multiply
    24,813.62x = 37,224.07 × 7,281.14
  4. Step 4: Simplify right side
    24,813.62x = 271,033,665.04
  5. Step 5: Solve for x
    x = 271,033,665.04/24,813.62
  6. Step 6: Final answer
    x = 10,922.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.