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Finding the Fourth Proportional to 13,496.80, 20,239.76 and 9,116.32

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Solution

The fourth proportional to 13,496.80, 20,239.76 and 9,116.32 is: 13,670.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,496.80 : 20,239.76 = 9,116.32 : x
  2. Step 2: Convert to fraction form
    13,496.80/20,239.76 = 9,116.32/x
  3. Step 3: Cross multiply
    13,496.80x = 20,239.76 × 9,116.32
  4. Step 4: Simplify right side
    13,496.80x = 184,512,128.88
  5. Step 5: Solve for x
    x = 184,512,128.88/13,496.80
  6. Step 6: Final answer
    x = 13,670.81

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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.