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Finding the Fourth Proportional to 17,236, 23,781.96 and 10,159.84

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Solution

The fourth proportional to 17,236, 23,781.96 and 10,159.84 is: 14,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,236 : 23,781.96 = 10,159.84 : x
  2. Step 2: Convert to fraction form
    17,236/23,781.96 = 10,159.84/x
  3. Step 3: Cross multiply
    17,236x = 23,781.96 × 10,159.84
  4. Step 4: Simplify right side
    17,236x = 241,620,908.49
  5. Step 5: Solve for x
    x = 241,620,908.49/17,236
  6. Step 6: Final answer
    x = 14,018.39

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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.