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Finding the Fourth Proportional to 22,099.68, 33,145.20 and 6,513.12

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Solution

The fourth proportional to 22,099.68, 33,145.20 and 6,513.12 is: 9,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,099.68 : 33,145.20 = 6,513.12 : x
  2. Step 2: Convert to fraction form
    22,099.68/33,145.20 = 6,513.12/x
  3. Step 3: Cross multiply
    22,099.68x = 33,145.20 × 6,513.12
  4. Step 4: Simplify right side
    22,099.68x = 215,878,665.02
  5. Step 5: Solve for x
    x = 215,878,665.02/22,099.68
  6. Step 6: Final answer
    x = 9,768.41

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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.