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Finding the Fourth Proportional to 16,201.80, 24,302.70 and 6,348.12

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Solution

The fourth proportional to 16,201.80, 24,302.70 and 6,348.12 is: 9,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,201.80 : 24,302.70 = 6,348.12 : x
  2. Step 2: Convert to fraction form
    16,201.80/24,302.70 = 6,348.12/x
  3. Step 3: Cross multiply
    16,201.80x = 24,302.70 × 6,348.12
  4. Step 4: Simplify right side
    16,201.80x = 154,276,455.92
  5. Step 5: Solve for x
    x = 154,276,455.92/16,201.80
  6. Step 6: Final answer
    x = 9,522.18

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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.