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Finding the Fourth Proportional to 20,570.06, 30,857.64 and 7,239.90

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Solution

The fourth proportional to 20,570.06, 30,857.64 and 7,239.90 is: 10,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,570.06 : 30,857.64 = 7,239.90 : x
  2. Step 2: Convert to fraction form
    20,570.06/30,857.64 = 7,239.90/x
  3. Step 3: Cross multiply
    20,570.06x = 30,857.64 × 7,239.90
  4. Step 4: Simplify right side
    20,570.06x = 223,406,227.84
  5. Step 5: Solve for x
    x = 223,406,227.84/20,570.06
  6. Step 6: Final answer
    x = 10,860.75

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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.