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Finding the Fourth Proportional to 16,600.52, 22,905.24 and 9,884

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Solution

The fourth proportional to 16,600.52, 22,905.24 and 9,884 is: 13,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,600.52 : 22,905.24 = 9,884 : x
  2. Step 2: Convert to fraction form
    16,600.52/22,905.24 = 9,884/x
  3. Step 3: Cross multiply
    16,600.52x = 22,905.24 × 9,884
  4. Step 4: Simplify right side
    16,600.52x = 226,395,392.16
  5. Step 5: Solve for x
    x = 226,395,392.16/16,600.52
  6. Step 6: Final answer
    x = 13,637.85

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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.