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Finding the Fourth Proportional to 13,224.26, 19,809.92 and 7,956.35

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Solution

The fourth proportional to 13,224.26, 19,809.92 and 7,956.35 is: 11,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.26 : 19,809.92 = 7,956.35 : x
  2. Step 2: Convert to fraction form
    13,224.26/19,809.92 = 7,956.35/x
  3. Step 3: Cross multiply
    13,224.26x = 19,809.92 × 7,956.35
  4. Step 4: Simplify right side
    13,224.26x = 157,614,518.16
  5. Step 5: Solve for x
    x = 157,614,518.16/13,224.26
  6. Step 6: Final answer
    x = 11,918.59

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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.