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Finding the Fourth Proportional to 17,656.44, 24,363.18 and 10,203

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Solution

The fourth proportional to 17,656.44, 24,363.18 and 10,203 is: 14,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,656.44 : 24,363.18 = 10,203 : x
  2. Step 2: Convert to fraction form
    17,656.44/24,363.18 = 10,203/x
  3. Step 3: Cross multiply
    17,656.44x = 24,363.18 × 10,203
  4. Step 4: Simplify right side
    17,656.44x = 248,577,525.54
  5. Step 5: Solve for x
    x = 248,577,525.54/17,656.44
  6. Step 6: Final answer
    x = 14,078.58

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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.