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Finding the Fourth Proportional to 20,857.56, 31,282.02 and 7,700.94

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Solution

The fourth proportional to 20,857.56, 31,282.02 and 7,700.94 is: 11,549.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,857.56 : 31,282.02 = 7,700.94 : x
  2. Step 2: Convert to fraction form
    20,857.56/31,282.02 = 7,700.94/x
  3. Step 3: Cross multiply
    20,857.56x = 31,282.02 × 7,700.94
  4. Step 4: Simplify right side
    20,857.56x = 240,900,959.10
  5. Step 5: Solve for x
    x = 240,900,959.10/20,857.56
  6. Step 6: Final answer
    x = 11,549.81

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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.