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Finding the Fourth Proportional to 12,262.32, 16,922.16 and 6,673.68

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Solution

The fourth proportional to 12,262.32, 16,922.16 and 6,673.68 is: 9,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,262.32 : 16,922.16 = 6,673.68 : x
  2. Step 2: Convert to fraction form
    12,262.32/16,922.16 = 6,673.68/x
  3. Step 3: Cross multiply
    12,262.32x = 16,922.16 × 6,673.68
  4. Step 4: Simplify right side
    12,262.32x = 112,933,080.75
  5. Step 5: Solve for x
    x = 112,933,080.75/12,262.32
  6. Step 6: Final answer
    x = 9,209.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.