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Finding the Fourth Proportional to 24,941.34, 37,380.78 and 12,464.82

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Solution

The fourth proportional to 24,941.34, 37,380.78 and 12,464.82 is: 18,681.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,941.34 : 37,380.78 = 12,464.82 : x
  2. Step 2: Convert to fraction form
    24,941.34/37,380.78 = 12,464.82/x
  3. Step 3: Cross multiply
    24,941.34x = 37,380.78 × 12,464.82
  4. Step 4: Simplify right side
    24,941.34x = 465,944,694.16
  5. Step 5: Solve for x
    x = 465,944,694.16/24,941.34
  6. Step 6: Final answer
    x = 18,681.62

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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.