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Finding the Fourth Proportional to 20,705.41, 31,063.07 and 6,666.75

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Solution

The fourth proportional to 20,705.41, 31,063.07 and 6,666.75 is: 10,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.41 : 31,063.07 = 6,666.75 : x
  2. Step 2: Convert to fraction form
    20,705.41/31,063.07 = 6,666.75/x
  3. Step 3: Cross multiply
    20,705.41x = 31,063.07 × 6,666.75
  4. Step 4: Simplify right side
    20,705.41x = 207,089,721.92
  5. Step 5: Solve for x
    x = 207,089,721.92/20,705.41
  6. Step 6: Final answer
    x = 10,001.72

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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.