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Finding the Fourth Proportional to 13,605.75, 20,412.05 and 6,589.13

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Solution

The fourth proportional to 13,605.75, 20,412.05 and 6,589.13 is: 9,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.75 : 20,412.05 = 6,589.13 : x
  2. Step 2: Convert to fraction form
    13,605.75/20,412.05 = 6,589.13/x
  3. Step 3: Cross multiply
    13,605.75x = 20,412.05 × 6,589.13
  4. Step 4: Simplify right side
    13,605.75x = 134,497,516.01
  5. Step 5: Solve for x
    x = 134,497,516.01/13,605.75
  6. Step 6: Final answer
    x = 9,885.34

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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.