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Finding the Fourth Proportional to 16,874.19, 23,285.07 and 9,801.14

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Solution

The fourth proportional to 16,874.19, 23,285.07 and 9,801.14 is: 13,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,874.19 : 23,285.07 = 9,801.14 : x
  2. Step 2: Convert to fraction form
    16,874.19/23,285.07 = 9,801.14/x
  3. Step 3: Cross multiply
    16,874.19x = 23,285.07 × 9,801.14
  4. Step 4: Simplify right side
    16,874.19x = 228,220,114.55
  5. Step 5: Solve for x
    x = 228,220,114.55/16,874.19
  6. Step 6: Final answer
    x = 13,524.80

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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.