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Finding the Fourth Proportional to 17,182.31, 25,760.31 and 11,902.14

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Solution

The fourth proportional to 17,182.31, 25,760.31 and 11,902.14 is: 17,844.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,182.31 : 25,760.31 = 11,902.14 : x
  2. Step 2: Convert to fraction form
    17,182.31/25,760.31 = 11,902.14/x
  3. Step 3: Cross multiply
    17,182.31x = 25,760.31 × 11,902.14
  4. Step 4: Simplify right side
    17,182.31x = 306,602,816.06
  5. Step 5: Solve for x
    x = 306,602,816.06/17,182.31
  6. Step 6: Final answer
    x = 17,844.10

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1.5x scale

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.