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Finding the Fourth Proportional to 24,914.84, 37,372.16 and 8,276.12

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Solution

The fourth proportional to 24,914.84, 37,372.16 and 8,276.12 is: 12,414.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,914.84 : 37,372.16 = 8,276.12 : x
  2. Step 2: Convert to fraction form
    24,914.84/37,372.16 = 8,276.12/x
  3. Step 3: Cross multiply
    24,914.84x = 37,372.16 × 8,276.12
  4. Step 4: Simplify right side
    24,914.84x = 309,296,480.82
  5. Step 5: Solve for x
    x = 309,296,480.82/24,914.84
  6. Step 6: Final answer
    x = 12,414.15

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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.