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Finding the Fourth Proportional to 24,473.88, 36,709.88 and 7,833.44

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Solution

The fourth proportional to 24,473.88, 36,709.88 and 7,833.44 is: 11,749.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,473.88 : 36,709.88 = 7,833.44 : x
  2. Step 2: Convert to fraction form
    24,473.88/36,709.88 = 7,833.44/x
  3. Step 3: Cross multiply
    24,473.88x = 36,709.88 × 7,833.44
  4. Step 4: Simplify right side
    24,473.88x = 287,564,694.99
  5. Step 5: Solve for x
    x = 287,564,694.99/24,473.88
  6. Step 6: Final answer
    x = 11,749.86

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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.