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Finding the Fourth Proportional to 22,429.71, 33,644.16 and 6,846.93

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Solution

The fourth proportional to 22,429.71, 33,644.16 and 6,846.93 is: 10,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.71 : 33,644.16 = 6,846.93 : x
  2. Step 2: Convert to fraction form
    22,429.71/33,644.16 = 6,846.93/x
  3. Step 3: Cross multiply
    22,429.71x = 33,644.16 × 6,846.93
  4. Step 4: Simplify right side
    22,429.71x = 230,359,208.43
  5. Step 5: Solve for x
    x = 230,359,208.43/22,429.71
  6. Step 6: Final answer
    x = 10,270.27

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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.