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Finding the Fourth Proportional to 22,053.38, 30,438.48 and 13,562.81

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Solution

The fourth proportional to 22,053.38, 30,438.48 and 13,562.81 is: 18,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,053.38 : 30,438.48 = 13,562.81 : x
  2. Step 2: Convert to fraction form
    22,053.38/30,438.48 = 13,562.81/x
  3. Step 3: Cross multiply
    22,053.38x = 30,438.48 × 13,562.81
  4. Step 4: Simplify right side
    22,053.38x = 412,831,155.92
  5. Step 5: Solve for x
    x = 412,831,155.92/22,053.38
  6. Step 6: Final answer
    x = 18,719.63

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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.