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Finding the Fourth Proportional to 17,744.53, 24,462 and 13,961.17

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Solution

The fourth proportional to 17,744.53, 24,462 and 13,961.17 is: 19,246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,744.53 : 24,462 = 13,961.17 : x
  2. Step 2: Convert to fraction form
    17,744.53/24,462 = 13,961.17/x
  3. Step 3: Cross multiply
    17,744.53x = 24,462 × 13,961.17
  4. Step 4: Simplify right side
    17,744.53x = 341,518,140.54
  5. Step 5: Solve for x
    x = 341,518,140.54/17,744.53
  6. Step 6: Final answer
    x = 19,246.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.