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Finding the Fourth Proportional to 22,054.38, 30,439.86 and 13,563.81

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Solution

The fourth proportional to 22,054.38, 30,439.86 and 13,563.81 is: 18,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,054.38 : 30,439.86 = 13,563.81 : x
  2. Step 2: Convert to fraction form
    22,054.38/30,439.86 = 13,563.81/x
  3. Step 3: Cross multiply
    22,054.38x = 30,439.86 × 13,563.81
  4. Step 4: Simplify right side
    22,054.38x = 412,880,477.47
  5. Step 5: Solve for x
    x = 412,880,477.47/22,054.38
  6. Step 6: Final answer
    x = 18,721.02

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Why These Related Problems?

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