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Finding the Fourth Proportional to 20,740.80, 31,111.20 and 6,889.80

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Solution

The fourth proportional to 20,740.80, 31,111.20 and 6,889.80 is: 10,334.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,740.80 : 31,111.20 = 6,889.80 : x
  2. Step 2: Convert to fraction form
    20,740.80/31,111.20 = 6,889.80/x
  3. Step 3: Cross multiply
    20,740.80x = 31,111.20 × 6,889.80
  4. Step 4: Simplify right side
    20,740.80x = 214,349,945.76
  5. Step 5: Solve for x
    x = 214,349,945.76/20,740.80
  6. Step 6: Final answer
    x = 10,334.70

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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.