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Finding the Fourth Proportional to 17,271.12, 23,833.26 and 9,717.60

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Solution

The fourth proportional to 17,271.12, 23,833.26 and 9,717.60 is: 13,409.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,271.12 : 23,833.26 = 9,717.60 : x
  2. Step 2: Convert to fraction form
    17,271.12/23,833.26 = 9,717.60/x
  3. Step 3: Cross multiply
    17,271.12x = 23,833.26 × 9,717.60
  4. Step 4: Simplify right side
    17,271.12x = 231,602,087.38
  5. Step 5: Solve for x
    x = 231,602,087.38/17,271.12
  6. Step 6: Final answer
    x = 13,409.79

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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.