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Finding the Fourth Proportional to 13,850.64, 20,775.69 and 8,305.53

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Solution

The fourth proportional to 13,850.64, 20,775.69 and 8,305.53 is: 12,458.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.64 : 20,775.69 = 8,305.53 : x
  2. Step 2: Convert to fraction form
    13,850.64/20,775.69 = 8,305.53/x
  3. Step 3: Cross multiply
    13,850.64x = 20,775.69 × 8,305.53
  4. Step 4: Simplify right side
    13,850.64x = 172,553,116.57
  5. Step 5: Solve for x
    x = 172,553,116.57/13,850.64
  6. Step 6: Final answer
    x = 12,458.13

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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.