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Finding the Fourth Proportional to 13,405.80, 20,108.04 and 6,380.70

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Solution

The fourth proportional to 13,405.80, 20,108.04 and 6,380.70 is: 9,570.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.80 : 20,108.04 = 6,380.70 : x
  2. Step 2: Convert to fraction form
    13,405.80/20,108.04 = 6,380.70/x
  3. Step 3: Cross multiply
    13,405.80x = 20,108.04 × 6,380.70
  4. Step 4: Simplify right side
    13,405.80x = 128,303,370.83
  5. Step 5: Solve for x
    x = 128,303,370.83/13,405.80
  6. Step 6: Final answer
    x = 9,570.74

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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.