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Finding the Fourth Proportional to 24,978.12, 37,469.34 and 10,188.06

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Solution

The fourth proportional to 24,978.12, 37,469.34 and 10,188.06 is: 15,282.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.12 : 37,469.34 = 10,188.06 : x
  2. Step 2: Convert to fraction form
    24,978.12/37,469.34 = 10,188.06/x
  3. Step 3: Cross multiply
    24,978.12x = 37,469.34 × 10,188.06
  4. Step 4: Simplify right side
    24,978.12x = 381,739,884.08
  5. Step 5: Solve for x
    x = 381,739,884.08/24,978.12
  6. Step 6: Final answer
    x = 15,282.97

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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.