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Finding the Fourth Proportional to 14,857.36, 22,284.92 and 5,493

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Solution

The fourth proportional to 14,857.36, 22,284.92 and 5,493 is: 8,239.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,857.36 : 22,284.92 = 5,493 : x
  2. Step 2: Convert to fraction form
    14,857.36/22,284.92 = 5,493/x
  3. Step 3: Cross multiply
    14,857.36x = 22,284.92 × 5,493
  4. Step 4: Simplify right side
    14,857.36x = 122,411,065.56
  5. Step 5: Solve for x
    x = 122,411,065.56/14,857.36
  6. Step 6: Final answer
    x = 8,239.09

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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.