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Finding the Fourth Proportional to 24,824.80, 37,224.40 and 9,234.40

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Solution

The fourth proportional to 24,824.80, 37,224.40 and 9,234.40 is: 13,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824.80 : 37,224.40 = 9,234.40 : x
  2. Step 2: Convert to fraction form
    24,824.80/37,224.40 = 9,234.40/x
  3. Step 3: Cross multiply
    24,824.80x = 37,224.40 × 9,234.40
  4. Step 4: Simplify right side
    24,824.80x = 343,744,999.36
  5. Step 5: Solve for x
    x = 343,744,999.36/24,824.80
  6. Step 6: Final answer
    x = 13,846.84

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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.