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Finding the Fourth Proportional to 14,691.84, 22,039.56 and 4,832.88

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Solution

The fourth proportional to 14,691.84, 22,039.56 and 4,832.88 is: 7,249.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691.84 : 22,039.56 = 4,832.88 : x
  2. Step 2: Convert to fraction form
    14,691.84/22,039.56 = 4,832.88/x
  3. Step 3: Cross multiply
    14,691.84x = 22,039.56 × 4,832.88
  4. Step 4: Simplify right side
    14,691.84x = 106,514,548.73
  5. Step 5: Solve for x
    x = 106,514,548.73/14,691.84
  6. Step 6: Final answer
    x = 7,249.91

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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.