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Finding the Fourth Proportional to 13,809.30, 20,705.63 and 6,209.18

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Solution

The fourth proportional to 13,809.30, 20,705.63 and 6,209.18 is: 9,310.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.30 : 20,705.63 = 6,209.18 : x
  2. Step 2: Convert to fraction form
    13,809.30/20,705.63 = 6,209.18/x
  3. Step 3: Cross multiply
    13,809.30x = 20,705.63 × 6,209.18
  4. Step 4: Simplify right side
    13,809.30x = 128,564,983.68
  5. Step 5: Solve for x
    x = 128,564,983.68/13,809.30
  6. Step 6: Final answer
    x = 9,310.03

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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.