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Finding the Fourth Proportional to 20,957.93, 31,430.22 and 6,915.34

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Solution

The fourth proportional to 20,957.93, 31,430.22 and 6,915.34 is: 10,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.93 : 31,430.22 = 6,915.34 : x
  2. Step 2: Convert to fraction form
    20,957.93/31,430.22 = 6,915.34/x
  3. Step 3: Cross multiply
    20,957.93x = 31,430.22 × 6,915.34
  4. Step 4: Simplify right side
    20,957.93x = 217,350,657.57
  5. Step 5: Solve for x
    x = 217,350,657.57/20,957.93
  6. Step 6: Final answer
    x = 10,370.81

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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.