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Finding the Fourth Proportional to 24,809.76, 37,231.20 and 9,228.96

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Solution

The fourth proportional to 24,809.76, 37,231.20 and 9,228.96 is: 13,849.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,809.76 : 37,231.20 = 9,228.96 : x
  2. Step 2: Convert to fraction form
    24,809.76/37,231.20 = 9,228.96/x
  3. Step 3: Cross multiply
    24,809.76x = 37,231.20 × 9,228.96
  4. Step 4: Simplify right side
    24,809.76x = 343,605,255.55
  5. Step 5: Solve for x
    x = 343,605,255.55/24,809.76
  6. Step 6: Final answer
    x = 13,849.60

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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.