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Finding the Fourth Proportional to 20,280.96, 27,989.22 and 11,328.84

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Solution

The fourth proportional to 20,280.96, 27,989.22 and 11,328.84 is: 15,634.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,280.96 : 27,989.22 = 11,328.84 : x
  2. Step 2: Convert to fraction form
    20,280.96/27,989.22 = 11,328.84/x
  3. Step 3: Cross multiply
    20,280.96x = 27,989.22 × 11,328.84
  4. Step 4: Simplify right side
    20,280.96x = 317,085,395.10
  5. Step 5: Solve for x
    x = 317,085,395.10/20,280.96
  6. Step 6: Final answer
    x = 15,634.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.