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Finding the Fourth Proportional to 20,573.84, 30,856.60 and 5,783.44

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Solution

The fourth proportional to 20,573.84, 30,856.60 and 5,783.44 is: 8,673.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,573.84 : 30,856.60 = 5,783.44 : x
  2. Step 2: Convert to fraction form
    20,573.84/30,856.60 = 5,783.44/x
  3. Step 3: Cross multiply
    20,573.84x = 30,856.60 × 5,783.44
  4. Step 4: Simplify right side
    20,573.84x = 178,457,294.70
  5. Step 5: Solve for x
    x = 178,457,294.70/20,573.84
  6. Step 6: Final answer
    x = 8,673.99

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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.