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Finding the Fourth Proportional to 20,971.50, 31,450.53 and 6,928.26

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Solution

The fourth proportional to 20,971.50, 31,450.53 and 6,928.26 is: 10,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,971.50 : 31,450.53 = 6,928.26 : x
  2. Step 2: Convert to fraction form
    20,971.50/31,450.53 = 6,928.26/x
  3. Step 3: Cross multiply
    20,971.50x = 31,450.53 × 6,928.26
  4. Step 4: Simplify right side
    20,971.50x = 217,897,448.98
  5. Step 5: Solve for x
    x = 217,897,448.98/20,971.50
  6. Step 6: Final answer
    x = 10,390.17

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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.