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Finding the Fourth Proportional to 20,533.30, 30,737.07 and 13,144.88

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Solution

The fourth proportional to 20,533.30, 30,737.07 and 13,144.88 is: 19,677.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533.30 : 30,737.07 = 13,144.88 : x
  2. Step 2: Convert to fraction form
    20,533.30/30,737.07 = 13,144.88/x
  3. Step 3: Cross multiply
    20,533.30x = 30,737.07 × 13,144.88
  4. Step 4: Simplify right side
    20,533.30x = 404,035,173.54
  5. Step 5: Solve for x
    x = 404,035,173.54/20,533.30
  6. Step 6: Final answer
    x = 19,677.07

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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.