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Finding the Fourth Proportional to 22,357.77, 33,533.01 and 6,771.75

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Solution

The fourth proportional to 22,357.77, 33,533.01 and 6,771.75 is: 10,156.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,357.77 : 33,533.01 = 6,771.75 : x
  2. Step 2: Convert to fraction form
    22,357.77/33,533.01 = 6,771.75/x
  3. Step 3: Cross multiply
    22,357.77x = 33,533.01 × 6,771.75
  4. Step 4: Simplify right side
    22,357.77x = 227,077,160.47
  5. Step 5: Solve for x
    x = 227,077,160.47/22,357.77
  6. Step 6: Final answer
    x = 10,156.52

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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.