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Finding the Fourth Proportional to 16,297.55, 22,489.84 and 10,008.71

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Solution

The fourth proportional to 16,297.55, 22,489.84 and 10,008.71 is: 13,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.55 : 22,489.84 = 10,008.71 : x
  2. Step 2: Convert to fraction form
    16,297.55/22,489.84 = 10,008.71/x
  3. Step 3: Cross multiply
    16,297.55x = 22,489.84 × 10,008.71
  4. Step 4: Simplify right side
    16,297.55x = 225,094,367.75
  5. Step 5: Solve for x
    x = 225,094,367.75/16,297.55
  6. Step 6: Final answer
    x = 13,811.54

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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.