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Finding the Fourth Proportional to 13,509.69, 20,279.51 and 5,617.86

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Solution

The fourth proportional to 13,509.69, 20,279.51 and 5,617.86 is: 8,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.69 : 20,279.51 = 5,617.86 : x
  2. Step 2: Convert to fraction form
    13,509.69/20,279.51 = 5,617.86/x
  3. Step 3: Cross multiply
    13,509.69x = 20,279.51 × 5,617.86
  4. Step 4: Simplify right side
    13,509.69x = 113,927,396.58
  5. Step 5: Solve for x
    x = 113,927,396.58/13,509.69
  6. Step 6: Final answer
    x = 8,433.02

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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.