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Finding the Fourth Proportional to 16,375.66, 22,598.41 and 8,923.66

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Solution

The fourth proportional to 16,375.66, 22,598.41 and 8,923.66 is: 12,314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375.66 : 22,598.41 = 8,923.66 : x
  2. Step 2: Convert to fraction form
    16,375.66/22,598.41 = 8,923.66/x
  3. Step 3: Cross multiply
    16,375.66x = 22,598.41 × 8,923.66
  4. Step 4: Simplify right side
    16,375.66x = 201,660,369.77
  5. Step 5: Solve for x
    x = 201,660,369.77/16,375.66
  6. Step 6: Final answer
    x = 12,314.64

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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.