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Finding the Fourth Proportional to 16,486.64, 22,751.64 and 8,933.08

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Solution

The fourth proportional to 16,486.64, 22,751.64 and 8,933.08 is: 12,327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,486.64 : 22,751.64 = 8,933.08 : x
  2. Step 2: Convert to fraction form
    16,486.64/22,751.64 = 8,933.08/x
  3. Step 3: Cross multiply
    16,486.64x = 22,751.64 × 8,933.08
  4. Step 4: Simplify right side
    16,486.64x = 203,242,220.25
  5. Step 5: Solve for x
    x = 203,242,220.25/16,486.64
  6. Step 6: Final answer
    x = 12,327.69

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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.