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Finding the Fourth Proportional to 13,480.22, 20,223.07 and 5,160.51

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Solution

The fourth proportional to 13,480.22, 20,223.07 and 5,160.51 is: 7,741.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,480.22 : 20,223.07 = 5,160.51 : x
  2. Step 2: Convert to fraction form
    13,480.22/20,223.07 = 5,160.51/x
  3. Step 3: Cross multiply
    13,480.22x = 20,223.07 × 5,160.51
  4. Step 4: Simplify right side
    13,480.22x = 104,361,342.06
  5. Step 5: Solve for x
    x = 104,361,342.06/13,480.22
  6. Step 6: Final answer
    x = 7,741.81

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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.