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Finding the Fourth Proportional to 17,342, 26,019.84 and 9,016.80

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Solution

The fourth proportional to 17,342, 26,019.84 and 9,016.80 is: 13,528.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,342 : 26,019.84 = 9,016.80 : x
  2. Step 2: Convert to fraction form
    17,342/26,019.84 = 9,016.80/x
  3. Step 3: Cross multiply
    17,342x = 26,019.84 × 9,016.80
  4. Step 4: Simplify right side
    17,342x = 234,615,693.31
  5. Step 5: Solve for x
    x = 234,615,693.31/17,342
  6. Step 6: Final answer
    x = 13,528.76

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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.