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Finding the Fourth Proportional to 24,760, 37,144.09 and 12,280.43

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Solution

The fourth proportional to 24,760, 37,144.09 and 12,280.43 is: 18,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,760 : 37,144.09 = 12,280.43 : x
  2. Step 2: Convert to fraction form
    24,760/37,144.09 = 12,280.43/x
  3. Step 3: Cross multiply
    24,760x = 37,144.09 × 12,280.43
  4. Step 4: Simplify right side
    24,760x = 456,145,397.16
  5. Step 5: Solve for x
    x = 456,145,397.16/24,760
  6. Step 6: Final answer
    x = 18,422.67

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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.