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Finding the Fourth Proportional to 17,716.14, 24,447.99 and 9,758.37

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Solution

The fourth proportional to 17,716.14, 24,447.99 and 9,758.37 is: 13,466.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,716.14 : 24,447.99 = 9,758.37 : x
  2. Step 2: Convert to fraction form
    17,716.14/24,447.99 = 9,758.37/x
  3. Step 3: Cross multiply
    17,716.14x = 24,447.99 × 9,758.37
  4. Step 4: Simplify right side
    17,716.14x = 238,572,532.18
  5. Step 5: Solve for x
    x = 238,572,532.18/17,716.14
  6. Step 6: Final answer
    x = 13,466.39

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1.5x scale

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.