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Finding the Fourth Proportional to 16,100.16, 22,201.26 and 12,737.58

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Solution

The fourth proportional to 16,100.16, 22,201.26 and 12,737.58 is: 17,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,100.16 : 22,201.26 = 12,737.58 : x
  2. Step 2: Convert to fraction form
    16,100.16/22,201.26 = 12,737.58/x
  3. Step 3: Cross multiply
    16,100.16x = 22,201.26 × 12,737.58
  4. Step 4: Simplify right side
    16,100.16x = 282,790,325.35
  5. Step 5: Solve for x
    x = 282,790,325.35/16,100.16
  6. Step 6: Final answer
    x = 17,564.44

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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.