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Finding the Fourth Proportional to 13,485.81, 20,221.59 and 7,164.23

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Solution

The fourth proportional to 13,485.81, 20,221.59 and 7,164.23 is: 10,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,485.81 : 20,221.59 = 7,164.23 : x
  2. Step 2: Convert to fraction form
    13,485.81/20,221.59 = 7,164.23/x
  3. Step 3: Cross multiply
    13,485.81x = 20,221.59 × 7,164.23
  4. Step 4: Simplify right side
    13,485.81x = 144,872,121.73
  5. Step 5: Solve for x
    x = 144,872,121.73/13,485.81
  6. Step 6: Final answer
    x = 10,742.56

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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.