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Finding the Fourth Proportional to 20,144.68, 30,202.14 and 10,784.36

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Solution

The fourth proportional to 20,144.68, 30,202.14 and 10,784.36 is: 16,168.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.68 : 30,202.14 = 10,784.36 : x
  2. Step 2: Convert to fraction form
    20,144.68/30,202.14 = 10,784.36/x
  3. Step 3: Cross multiply
    20,144.68x = 30,202.14 × 10,784.36
  4. Step 4: Simplify right side
    20,144.68x = 325,710,750.53
  5. Step 5: Solve for x
    x = 325,710,750.53/20,144.68
  6. Step 6: Final answer
    x = 16,168.57

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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.