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Finding the Fourth Proportional to 20,338.59, 30,454.83 and 16,368.17

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Solution

The fourth proportional to 20,338.59, 30,454.83 and 16,368.17 is: 24,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.59 : 30,454.83 = 16,368.17 : x
  2. Step 2: Convert to fraction form
    20,338.59/30,454.83 = 16,368.17/x
  3. Step 3: Cross multiply
    20,338.59x = 30,454.83 × 16,368.17
  4. Step 4: Simplify right side
    20,338.59x = 498,489,682.49
  5. Step 5: Solve for x
    x = 498,489,682.49/20,338.59
  6. Step 6: Final answer
    x = 24,509.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.