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Finding the Fourth Proportional to 13,809.72, 20,707.80 and 5,911.12

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Solution

The fourth proportional to 13,809.72, 20,707.80 and 5,911.12 is: 8,863.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809.72 : 20,707.80 = 5,911.12 : x
  2. Step 2: Convert to fraction form
    13,809.72/20,707.80 = 5,911.12/x
  3. Step 3: Cross multiply
    13,809.72x = 20,707.80 × 5,911.12
  4. Step 4: Simplify right side
    13,809.72x = 122,406,290.74
  5. Step 5: Solve for x
    x = 122,406,290.74/13,809.72
  6. Step 6: Final answer
    x = 8,863.78

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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.