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Finding the Fourth Proportional to 13,707.57, 20,568.16 and 6,317.23

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Solution

The fourth proportional to 13,707.57, 20,568.16 and 6,317.23 is: 9,478.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.57 : 20,568.16 = 6,317.23 : x
  2. Step 2: Convert to fraction form
    13,707.57/20,568.16 = 6,317.23/x
  3. Step 3: Cross multiply
    13,707.57x = 20,568.16 × 6,317.23
  4. Step 4: Simplify right side
    13,707.57x = 129,933,797.40
  5. Step 5: Solve for x
    x = 129,933,797.40/13,707.57
  6. Step 6: Final answer
    x = 9,478.98

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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.