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Finding the Fourth Proportional to 22,641.28, 31,228.32 and 13,209.28

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Solution

The fourth proportional to 22,641.28, 31,228.32 and 13,209.28 is: 18,219.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.28 : 31,228.32 = 13,209.28 : x
  2. Step 2: Convert to fraction form
    22,641.28/31,228.32 = 13,209.28/x
  3. Step 3: Cross multiply
    22,641.28x = 31,228.32 × 13,209.28
  4. Step 4: Simplify right side
    22,641.28x = 412,503,622.81
  5. Step 5: Solve for x
    x = 412,503,622.81/22,641.28
  6. Step 6: Final answer
    x = 18,219.09

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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.