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Finding the Fourth Proportional to 20,710.96, 31,072.47 and 6,670.66

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Solution

The fourth proportional to 20,710.96, 31,072.47 and 6,670.66 is: 10,007.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,710.96 : 31,072.47 = 6,670.66 : x
  2. Step 2: Convert to fraction form
    20,710.96/31,072.47 = 6,670.66/x
  3. Step 3: Cross multiply
    20,710.96x = 31,072.47 × 6,670.66
  4. Step 4: Simplify right side
    20,710.96x = 207,273,882.73
  5. Step 5: Solve for x
    x = 207,273,882.73/20,710.96
  6. Step 6: Final answer
    x = 10,007.93

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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.