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Finding the Fourth Proportional to 12,221.31, 16,864.56 and 7,185.75

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Solution

The fourth proportional to 12,221.31, 16,864.56 and 7,185.75 is: 9,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.31 : 16,864.56 = 7,185.75 : x
  2. Step 2: Convert to fraction form
    12,221.31/16,864.56 = 7,185.75/x
  3. Step 3: Cross multiply
    12,221.31x = 16,864.56 × 7,185.75
  4. Step 4: Simplify right side
    12,221.31x = 121,184,512.02
  5. Step 5: Solve for x
    x = 121,184,512.02/12,221.31
  6. Step 6: Final answer
    x = 9,915.84

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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.