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Finding the Fourth Proportional to 13,770.69, 20,659.41 and 4,410.74

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Solution

The fourth proportional to 13,770.69, 20,659.41 and 4,410.74 is: 6,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.69 : 20,659.41 = 4,410.74 : x
  2. Step 2: Convert to fraction form
    13,770.69/20,659.41 = 4,410.74/x
  3. Step 3: Cross multiply
    13,770.69x = 20,659.41 × 4,410.74
  4. Step 4: Simplify right side
    13,770.69x = 91,123,182.77
  5. Step 5: Solve for x
    x = 91,123,182.77/13,770.69
  6. Step 6: Final answer
    x = 6,617.18

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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.