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Finding the Fourth Proportional to 14,417, 21,625.68 and 5,183

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Solution

The fourth proportional to 14,417, 21,625.68 and 5,183 is: 7,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,417 : 21,625.68 = 5,183 : x
  2. Step 2: Convert to fraction form
    14,417/21,625.68 = 5,183/x
  3. Step 3: Cross multiply
    14,417x = 21,625.68 × 5,183
  4. Step 4: Simplify right side
    14,417x = 112,085,899.44
  5. Step 5: Solve for x
    x = 112,085,899.44/14,417
  6. Step 6: Final answer
    x = 7,774.56

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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.