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Finding the Fourth Proportional to 20,825.52, 31,243.76 and 7,678.02

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Solution

The fourth proportional to 20,825.52, 31,243.76 and 7,678.02 is: 11,519.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,825.52 : 31,243.76 = 7,678.02 : x
  2. Step 2: Convert to fraction form
    20,825.52/31,243.76 = 7,678.02/x
  3. Step 3: Cross multiply
    20,825.52x = 31,243.76 × 7,678.02
  4. Step 4: Simplify right side
    20,825.52x = 239,890,214.16
  5. Step 5: Solve for x
    x = 239,890,214.16/20,825.52
  6. Step 6: Final answer
    x = 11,519.05

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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.