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Finding the Fourth Proportional to 22,798.28, 31,465.28 and 13,366.85

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Solution

The fourth proportional to 22,798.28, 31,465.28 and 13,366.85 is: 18,448.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,798.28 : 31,465.28 = 13,366.85 : x
  2. Step 2: Convert to fraction form
    22,798.28/31,465.28 = 13,366.85/x
  3. Step 3: Cross multiply
    22,798.28x = 31,465.28 × 13,366.85
  4. Step 4: Simplify right side
    22,798.28x = 420,591,453.81
  5. Step 5: Solve for x
    x = 420,591,453.81/22,798.28
  6. Step 6: Final answer
    x = 18,448.39

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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.