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Finding the Fourth Proportional to 14,778.50, 22,119.19 and 11,249.44

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Solution

The fourth proportional to 14,778.50, 22,119.19 and 11,249.44 is: 16,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,778.50 : 22,119.19 = 11,249.44 : x
  2. Step 2: Convert to fraction form
    14,778.50/22,119.19 = 11,249.44/x
  3. Step 3: Cross multiply
    14,778.50x = 22,119.19 × 11,249.44
  4. Step 4: Simplify right side
    14,778.50x = 248,828,417.33
  5. Step 5: Solve for x
    x = 248,828,417.33/14,778.50
  6. Step 6: Final answer
    x = 16,837.20

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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.