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Finding the Fourth Proportional to 21,319.01, 31,960.28 and 8,180.81

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Solution

The fourth proportional to 21,319.01, 31,960.28 and 8,180.81 is: 12,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,319.01 : 31,960.28 = 8,180.81 : x
  2. Step 2: Convert to fraction form
    21,319.01/31,960.28 = 8,180.81/x
  3. Step 3: Cross multiply
    21,319.01x = 31,960.28 × 8,180.81
  4. Step 4: Simplify right side
    21,319.01x = 261,460,958.73
  5. Step 5: Solve for x
    x = 261,460,958.73/21,319.01
  6. Step 6: Final answer
    x = 12,264.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.