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Finding the Fourth Proportional to 20,923.50, 31,390.12 and 7,072.50

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Solution

The fourth proportional to 20,923.50, 31,390.12 and 7,072.50 is: 10,610.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,923.50 : 31,390.12 = 7,072.50 : x
  2. Step 2: Convert to fraction form
    20,923.50/31,390.12 = 7,072.50/x
  3. Step 3: Cross multiply
    20,923.50x = 31,390.12 × 7,072.50
  4. Step 4: Simplify right side
    20,923.50x = 222,006,623.70
  5. Step 5: Solve for x
    x = 222,006,623.70/20,923.50
  6. Step 6: Final answer
    x = 10,610.40

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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.