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Finding the Fourth Proportional to 12,046.33, 16,623.95 and 6,742.41

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Solution

The fourth proportional to 12,046.33, 16,623.95 and 6,742.41 is: 9,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,046.33 : 16,623.95 = 6,742.41 : x
  2. Step 2: Convert to fraction form
    12,046.33/16,623.95 = 6,742.41/x
  3. Step 3: Cross multiply
    12,046.33x = 16,623.95 × 6,742.41
  4. Step 4: Simplify right side
    12,046.33x = 112,085,486.72
  5. Step 5: Solve for x
    x = 112,085,486.72/12,046.33
  6. Step 6: Final answer
    x = 9,304.53

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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.