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Finding the Fourth Proportional to 22,339.87, 30,829.84 and 12,269.24

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Solution

The fourth proportional to 22,339.87, 30,829.84 and 12,269.24 is: 16,932.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,339.87 : 30,829.84 = 12,269.24 : x
  2. Step 2: Convert to fraction form
    22,339.87/30,829.84 = 12,269.24/x
  3. Step 3: Cross multiply
    22,339.87x = 30,829.84 × 12,269.24
  4. Step 4: Simplify right side
    22,339.87x = 378,258,706.12
  5. Step 5: Solve for x
    x = 378,258,706.12/22,339.87
  6. Step 6: Final answer
    x = 16,932.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.