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Finding the Fourth Proportional to 21,099.16, 31,650.90 and 7,962.58

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Solution

The fourth proportional to 21,099.16, 31,650.90 and 7,962.58 is: 11,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099.16 : 31,650.90 = 7,962.58 : x
  2. Step 2: Convert to fraction form
    21,099.16/31,650.90 = 7,962.58/x
  3. Step 3: Cross multiply
    21,099.16x = 31,650.90 × 7,962.58
  4. Step 4: Simplify right side
    21,099.16x = 252,022,823.32
  5. Step 5: Solve for x
    x = 252,022,823.32/21,099.16
  6. Step 6: Final answer
    x = 11,944.69

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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.