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Finding the Fourth Proportional to 24,205.76, 36,299.94 and 8,620.28

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Solution

The fourth proportional to 24,205.76, 36,299.94 and 8,620.28 is: 12,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,205.76 : 36,299.94 = 8,620.28 : x
  2. Step 2: Convert to fraction form
    24,205.76/36,299.94 = 8,620.28/x
  3. Step 3: Cross multiply
    24,205.76x = 36,299.94 × 8,620.28
  4. Step 4: Simplify right side
    24,205.76x = 312,915,646.78
  5. Step 5: Solve for x
    x = 312,915,646.78/24,205.76
  6. Step 6: Final answer
    x = 12,927.32

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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.