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Finding the Fourth Proportional to 16,644.43, 22,962.18 and 9,569.35

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Solution

The fourth proportional to 16,644.43, 22,962.18 and 9,569.35 is: 13,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,644.43 : 22,962.18 = 9,569.35 : x
  2. Step 2: Convert to fraction form
    16,644.43/22,962.18 = 9,569.35/x
  3. Step 3: Cross multiply
    16,644.43x = 22,962.18 × 9,569.35
  4. Step 4: Simplify right side
    16,644.43x = 219,733,137.18
  5. Step 5: Solve for x
    x = 219,733,137.18/16,644.43
  6. Step 6: Final answer
    x = 13,201.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.