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Finding the Fourth Proportional to 11,948.92, 16,480.87 and 9,213.35

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Solution

The fourth proportional to 11,948.92, 16,480.87 and 9,213.35 is: 12,707.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.92 : 16,480.87 = 9,213.35 : x
  2. Step 2: Convert to fraction form
    11,948.92/16,480.87 = 9,213.35/x
  3. Step 3: Cross multiply
    11,948.92x = 16,480.87 × 9,213.35
  4. Step 4: Simplify right side
    11,948.92x = 151,843,918.18
  5. Step 5: Solve for x
    x = 151,843,918.18/11,948.92
  6. Step 6: Final answer
    x = 12,707.76

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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.