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Finding the Fourth Proportional to 22,059.38, 33,094.60 and 6,477

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Solution

The fourth proportional to 22,059.38, 33,094.60 and 6,477 is: 9,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,059.38 : 33,094.60 = 6,477 : x
  2. Step 2: Convert to fraction form
    22,059.38/33,094.60 = 6,477/x
  3. Step 3: Cross multiply
    22,059.38x = 33,094.60 × 6,477
  4. Step 4: Simplify right side
    22,059.38x = 214,353,724.20
  5. Step 5: Solve for x
    x = 214,353,724.20/22,059.38
  6. Step 6: Final answer
    x = 9,717.12

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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.