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Finding the Fourth Proportional to 16,249.16, 22,423.80 and 8,797.16

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Solution

The fourth proportional to 16,249.16, 22,423.80 and 8,797.16 is: 12,140.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,249.16 : 22,423.80 = 8,797.16 : x
  2. Step 2: Convert to fraction form
    16,249.16/22,423.80 = 8,797.16/x
  3. Step 3: Cross multiply
    16,249.16x = 22,423.80 × 8,797.16
  4. Step 4: Simplify right side
    16,249.16x = 197,265,756.41
  5. Step 5: Solve for x
    x = 197,265,756.41/16,249.16
  6. Step 6: Final answer
    x = 12,140.06

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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.