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Finding the Fourth Proportional to 16,028.08, 24,048.44 and 6,164.71

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Solution

The fourth proportional to 16,028.08, 24,048.44 and 6,164.71 is: 9,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,028.08 : 24,048.44 = 6,164.71 : x
  2. Step 2: Convert to fraction form
    16,028.08/24,048.44 = 6,164.71/x
  3. Step 3: Cross multiply
    16,028.08x = 24,048.44 × 6,164.71
  4. Step 4: Simplify right side
    16,028.08x = 148,251,625.40
  5. Step 5: Solve for x
    x = 148,251,625.40/16,028.08
  6. Step 6: Final answer
    x = 9,249.50

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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.