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Finding the Fourth Proportional to 16,808.16, 25,194.32 and 8,024.48

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Solution

The fourth proportional to 16,808.16, 25,194.32 and 8,024.48 is: 12,028.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.16 : 25,194.32 = 8,024.48 : x
  2. Step 2: Convert to fraction form
    16,808.16/25,194.32 = 8,024.48/x
  3. Step 3: Cross multiply
    16,808.16x = 25,194.32 × 8,024.48
  4. Step 4: Simplify right side
    16,808.16x = 202,171,316.95
  5. Step 5: Solve for x
    x = 202,171,316.95/16,808.16
  6. Step 6: Final answer
    x = 12,028.16

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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.