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Finding the Fourth Proportional to 17,896, 24,696.48 and 10,444

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Solution

The fourth proportional to 17,896, 24,696.48 and 10,444 is: 14,412.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,896 : 24,696.48 = 10,444 : x
  2. Step 2: Convert to fraction form
    17,896/24,696.48 = 10,444/x
  3. Step 3: Cross multiply
    17,896x = 24,696.48 × 10,444
  4. Step 4: Simplify right side
    17,896x = 257,930,037.12
  5. Step 5: Solve for x
    x = 257,930,037.12/17,896
  6. Step 6: Final answer
    x = 14,412.72

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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.