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Finding the Fourth Proportional to 16,027.66, 24,042.23 and 4,934.84

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Solution

The fourth proportional to 16,027.66, 24,042.23 and 4,934.84 is: 7,402.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,027.66 : 24,042.23 = 4,934.84 : x
  2. Step 2: Convert to fraction form
    16,027.66/24,042.23 = 4,934.84/x
  3. Step 3: Cross multiply
    16,027.66x = 24,042.23 × 4,934.84
  4. Step 4: Simplify right side
    16,027.66x = 118,644,533.62
  5. Step 5: Solve for x
    x = 118,644,533.62/16,027.66
  6. Step 6: Final answer
    x = 7,402.49

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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.