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Finding the Fourth Proportional to 20,810.81, 31,213.13 and 7,660.11

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Solution

The fourth proportional to 20,810.81, 31,213.13 and 7,660.11 is: 11,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810.81 : 31,213.13 = 7,660.11 : x
  2. Step 2: Convert to fraction form
    20,810.81/31,213.13 = 7,660.11/x
  3. Step 3: Cross multiply
    20,810.81x = 31,213.13 × 7,660.11
  4. Step 4: Simplify right side
    20,810.81x = 239,095,970.94
  5. Step 5: Solve for x
    x = 239,095,970.94/20,810.81
  6. Step 6: Final answer
    x = 11,489.03

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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.