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Finding the Fourth Proportional to 20,104.50, 30,158.91 and 9,016.14

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Solution

The fourth proportional to 20,104.50, 30,158.91 and 9,016.14 is: 13,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,104.50 : 30,158.91 = 9,016.14 : x
  2. Step 2: Convert to fraction form
    20,104.50/30,158.91 = 9,016.14/x
  3. Step 3: Cross multiply
    20,104.50x = 30,158.91 × 9,016.14
  4. Step 4: Simplify right side
    20,104.50x = 271,916,954.81
  5. Step 5: Solve for x
    x = 271,916,954.81/20,104.50
  6. Step 6: Final answer
    x = 13,525.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.