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Finding the Fourth Proportional to 13,710.25, 20,565.49 and 3,322

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Solution

The fourth proportional to 13,710.25, 20,565.49 and 3,322 is: 4,983.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.25 : 20,565.49 = 3,322 : x
  2. Step 2: Convert to fraction form
    13,710.25/20,565.49 = 3,322/x
  3. Step 3: Cross multiply
    13,710.25x = 20,565.49 × 3,322
  4. Step 4: Simplify right side
    13,710.25x = 68,318,557.78
  5. Step 5: Solve for x
    x = 68,318,557.78/13,710.25
  6. Step 6: Final answer
    x = 4,983.03

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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.