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Finding the Fourth Proportional to 20,570.33, 30,853.07 and 5,780.49

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Solution

The fourth proportional to 20,570.33, 30,853.07 and 5,780.49 is: 8,670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.33 : 30,853.07 = 5,780.49 : x
  2. Step 2: Convert to fraction form
    20,570.33/30,853.07 = 5,780.49/x
  3. Step 3: Cross multiply
    20,570.33x = 30,853.07 × 5,780.49
  4. Step 4: Simplify right side
    20,570.33x = 178,345,833.70
  5. Step 5: Solve for x
    x = 178,345,833.70/20,570.33
  6. Step 6: Final answer
    x = 8,670.05

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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.