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Finding the Fourth Proportional to 13,605.27, 20,415.84 and 5,707.11

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Solution

The fourth proportional to 13,605.27, 20,415.84 and 5,707.11 is: 8,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.27 : 20,415.84 = 5,707.11 : x
  2. Step 2: Convert to fraction form
    13,605.27/20,415.84 = 5,707.11/x
  3. Step 3: Cross multiply
    13,605.27x = 20,415.84 × 5,707.11
  4. Step 4: Simplify right side
    13,605.27x = 116,515,444.62
  5. Step 5: Solve for x
    x = 116,515,444.62/13,605.27
  6. Step 6: Final answer
    x = 8,563.99

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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.