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Finding the Fourth Proportional to 23,444, 35,164.17 and 10,296.48

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Solution

The fourth proportional to 23,444, 35,164.17 and 10,296.48 is: 15,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,444 : 35,164.17 = 10,296.48 : x
  2. Step 2: Convert to fraction form
    23,444/35,164.17 = 10,296.48/x
  3. Step 3: Cross multiply
    23,444x = 35,164.17 × 10,296.48
  4. Step 4: Simplify right side
    23,444x = 362,067,173.12
  5. Step 5: Solve for x
    x = 362,067,173.12/23,444
  6. Step 6: Final answer
    x = 15,443.92

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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.