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Finding the Fourth Proportional to 17,186, 23,713.08 and 10,113.20

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Solution

The fourth proportional to 17,186, 23,713.08 and 10,113.20 is: 13,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,186 : 23,713.08 = 10,113.20 : x
  2. Step 2: Convert to fraction form
    17,186/23,713.08 = 10,113.20/x
  3. Step 3: Cross multiply
    17,186x = 23,713.08 × 10,113.20
  4. Step 4: Simplify right side
    17,186x = 239,815,120.66
  5. Step 5: Solve for x
    x = 239,815,120.66/17,186
  6. Step 6: Final answer
    x = 13,954.10

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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.