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Finding the Fourth Proportional to 24,462.88, 36,689.52 and 7,824.80

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Solution

The fourth proportional to 24,462.88, 36,689.52 and 7,824.80 is: 11,735.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462.88 : 36,689.52 = 7,824.80 : x
  2. Step 2: Convert to fraction form
    24,462.88/36,689.52 = 7,824.80/x
  3. Step 3: Cross multiply
    24,462.88x = 36,689.52 × 7,824.80
  4. Step 4: Simplify right side
    24,462.88x = 287,088,156.10
  5. Step 5: Solve for x
    x = 287,088,156.10/24,462.88
  6. Step 6: Final answer
    x = 11,735.66

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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.