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Finding the Fourth Proportional to 20,570.56, 30,851.03 and 5,780.90

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Solution

The fourth proportional to 20,570.56, 30,851.03 and 5,780.90 is: 8,670.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.56 : 30,851.03 = 5,780.90 : x
  2. Step 2: Convert to fraction form
    20,570.56/30,851.03 = 5,780.90/x
  3. Step 3: Cross multiply
    20,570.56x = 30,851.03 × 5,780.90
  4. Step 4: Simplify right side
    20,570.56x = 178,346,719.33
  5. Step 5: Solve for x
    x = 178,346,719.33/20,570.56
  6. Step 6: Final answer
    x = 8,670.00

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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.