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Finding the Fourth Proportional to 20,405.80, 30,594.30 and 9,317.80

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Solution

The fourth proportional to 20,405.80, 30,594.30 and 9,317.80 is: 13,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,405.80 : 30,594.30 = 9,317.80 : x
  2. Step 2: Convert to fraction form
    20,405.80/30,594.30 = 9,317.80/x
  3. Step 3: Cross multiply
    20,405.80x = 30,594.30 × 9,317.80
  4. Step 4: Simplify right side
    20,405.80x = 285,071,568.54
  5. Step 5: Solve for x
    x = 285,071,568.54/20,405.80
  6. Step 6: Final answer
    x = 13,970.12

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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.