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Finding the Fourth Proportional to 17,137.64, 25,648 and 14,367.44

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Solution

The fourth proportional to 17,137.64, 25,648 and 14,367.44 is: 21,502.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137.64 : 25,648 = 14,367.44 : x
  2. Step 2: Convert to fraction form
    17,137.64/25,648 = 14,367.44/x
  3. Step 3: Cross multiply
    17,137.64x = 25,648 × 14,367.44
  4. Step 4: Simplify right side
    17,137.64x = 368,496,101.12
  5. Step 5: Solve for x
    x = 368,496,101.12/17,137.64
  6. Step 6: Final answer
    x = 21,502.15

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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.