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Finding the Fourth Proportional to 17,462, 26,229.12 and 14,134.16

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Solution

The fourth proportional to 17,462, 26,229.12 and 14,134.16 is: 21,230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462 : 26,229.12 = 14,134.16 : x
  2. Step 2: Convert to fraction form
    17,462/26,229.12 = 14,134.16/x
  3. Step 3: Cross multiply
    17,462x = 26,229.12 × 14,134.16
  4. Step 4: Simplify right side
    17,462x = 370,726,578.74
  5. Step 5: Solve for x
    x = 370,726,578.74/17,462
  6. Step 6: Final answer
    x = 21,230.48

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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.