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Finding the Fourth Proportional to 20,571.56, 30,852.53 and 5,781.90

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Solution

The fourth proportional to 20,571.56, 30,852.53 and 5,781.90 is: 8,671.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,571.56 : 30,852.53 = 5,781.90 : x
  2. Step 2: Convert to fraction form
    20,571.56/30,852.53 = 5,781.90/x
  3. Step 3: Cross multiply
    20,571.56x = 30,852.53 × 5,781.90
  4. Step 4: Simplify right side
    20,571.56x = 178,386,243.21
  5. Step 5: Solve for x
    x = 178,386,243.21/20,571.56
  6. Step 6: Final answer
    x = 8,671.50

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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.