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Finding the Fourth Proportional to 20,084.19, 30,113.19 and 10,209.75

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Solution

The fourth proportional to 20,084.19, 30,113.19 and 10,209.75 is: 15,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,084.19 : 30,113.19 = 10,209.75 : x
  2. Step 2: Convert to fraction form
    20,084.19/30,113.19 = 10,209.75/x
  3. Step 3: Cross multiply
    20,084.19x = 30,113.19 × 10,209.75
  4. Step 4: Simplify right side
    20,084.19x = 307,448,141.60
  5. Step 5: Solve for x
    x = 307,448,141.60/20,084.19
  6. Step 6: Final answer
    x = 15,307.97

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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.