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Finding the Fourth Proportional to 22,635.44, 33,953.58 and 7,844.84

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Solution

The fourth proportional to 22,635.44, 33,953.58 and 7,844.84 is: 11,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,635.44 : 33,953.58 = 7,844.84 : x
  2. Step 2: Convert to fraction form
    22,635.44/33,953.58 = 7,844.84/x
  3. Step 3: Cross multiply
    22,635.44x = 33,953.58 × 7,844.84
  4. Step 4: Simplify right side
    22,635.44x = 266,360,402.53
  5. Step 5: Solve for x
    x = 266,360,402.53/22,635.44
  6. Step 6: Final answer
    x = 11,767.41

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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.