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Finding the Fourth Proportional to 13,385.09, 20,077.86 and 3,524

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Solution

The fourth proportional to 13,385.09, 20,077.86 and 3,524 is: 5,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.09 : 20,077.86 = 3,524 : x
  2. Step 2: Convert to fraction form
    13,385.09/20,077.86 = 3,524/x
  3. Step 3: Cross multiply
    13,385.09x = 20,077.86 × 3,524
  4. Step 4: Simplify right side
    13,385.09x = 70,754,378.64
  5. Step 5: Solve for x
    x = 70,754,378.64/13,385.09
  6. Step 6: Final answer
    x = 5,286.06

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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.