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Finding the Fourth Proportional to 22,153.17, 33,229.75 and 6,569.58

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Solution

The fourth proportional to 22,153.17, 33,229.75 and 6,569.58 is: 9,854.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,153.17 : 33,229.75 = 6,569.58 : x
  2. Step 2: Convert to fraction form
    22,153.17/33,229.75 = 6,569.58/x
  3. Step 3: Cross multiply
    22,153.17x = 33,229.75 × 6,569.58
  4. Step 4: Simplify right side
    22,153.17x = 218,305,384.61
  5. Step 5: Solve for x
    x = 218,305,384.61/22,153.17
  6. Step 6: Final answer
    x = 9,854.36

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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.