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Finding the Fourth Proportional to 16,214.32, 22,375.75 and 8,762.32

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Solution

The fourth proportional to 16,214.32, 22,375.75 and 8,762.32 is: 12,092.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.32 : 22,375.75 = 8,762.32 : x
  2. Step 2: Convert to fraction form
    16,214.32/22,375.75 = 8,762.32/x
  3. Step 3: Cross multiply
    16,214.32x = 22,375.75 × 8,762.32
  4. Step 4: Simplify right side
    16,214.32x = 196,063,481.74
  5. Step 5: Solve for x
    x = 196,063,481.74/16,214.32
  6. Step 6: Final answer
    x = 12,092.00

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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.