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Finding the Fourth Proportional to 17,655, 24,366.06 and 10,203

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Solution

The fourth proportional to 17,655, 24,366.06 and 10,203 is: 14,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,655 : 24,366.06 = 10,203 : x
  2. Step 2: Convert to fraction form
    17,655/24,366.06 = 10,203/x
  3. Step 3: Cross multiply
    17,655x = 24,366.06 × 10,203
  4. Step 4: Simplify right side
    17,655x = 248,606,910.18
  5. Step 5: Solve for x
    x = 248,606,910.18/17,655
  6. Step 6: Final answer
    x = 14,081.39

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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.