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Finding the Fourth Proportional to 13,486.81, 20,223.09 and 7,165.23

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Solution

The fourth proportional to 13,486.81, 20,223.09 and 7,165.23 is: 10,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.81 : 20,223.09 = 7,165.23 : x
  2. Step 2: Convert to fraction form
    13,486.81/20,223.09 = 7,165.23/x
  3. Step 3: Cross multiply
    13,486.81x = 20,223.09 × 7,165.23
  4. Step 4: Simplify right side
    13,486.81x = 144,903,091.16
  5. Step 5: Solve for x
    x = 144,903,091.16/13,486.81
  6. Step 6: Final answer
    x = 10,744.06

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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.