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Finding the Fourth Proportional to 13,698.77, 20,548.16 and 3,310.52

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Solution

The fourth proportional to 13,698.77, 20,548.16 and 3,310.52 is: 4,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.77 : 20,548.16 = 3,310.52 : x
  2. Step 2: Convert to fraction form
    13,698.77/20,548.16 = 3,310.52/x
  3. Step 3: Cross multiply
    13,698.77x = 20,548.16 × 3,310.52
  4. Step 4: Simplify right side
    13,698.77x = 68,025,094.64
  5. Step 5: Solve for x
    x = 68,025,094.64/13,698.77
  6. Step 6: Final answer
    x = 4,965.78

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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.