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Finding the Fourth Proportional to 16,375, 22,597.56 and 8,923

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Solution

The fourth proportional to 16,375, 22,597.56 and 8,923 is: 12,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,375 : 22,597.56 = 8,923 : x
  2. Step 2: Convert to fraction form
    16,375/22,597.56 = 8,923/x
  3. Step 3: Cross multiply
    16,375x = 22,597.56 × 8,923
  4. Step 4: Simplify right side
    16,375x = 201,638,027.88
  5. Step 5: Solve for x
    x = 201,638,027.88/16,375
  6. Step 6: Final answer
    x = 12,313.77

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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.