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Finding the Fourth Proportional to 21,254, 31,867.33 and 8,099.19

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Solution

The fourth proportional to 21,254, 31,867.33 and 8,099.19 is: 12,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,254 : 31,867.33 = 8,099.19 : x
  2. Step 2: Convert to fraction form
    21,254/31,867.33 = 8,099.19/x
  3. Step 3: Cross multiply
    21,254x = 31,867.33 × 8,099.19
  4. Step 4: Simplify right side
    21,254x = 258,099,560.46
  5. Step 5: Solve for x
    x = 258,099,560.46/21,254
  6. Step 6: Final answer
    x = 12,143.58

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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.