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Finding the Fourth Proportional to 20,205.75, 30,312.02 and 9,112.20

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Solution

The fourth proportional to 20,205.75, 30,312.02 and 9,112.20 is: 13,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.75 : 30,312.02 = 9,112.20 : x
  2. Step 2: Convert to fraction form
    20,205.75/30,312.02 = 9,112.20/x
  3. Step 3: Cross multiply
    20,205.75x = 30,312.02 × 9,112.20
  4. Step 4: Simplify right side
    20,205.75x = 276,209,097.75
  5. Step 5: Solve for x
    x = 276,209,097.75/20,205.75
  6. Step 6: Final answer
    x = 13,669.82

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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.