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Finding the Fourth Proportional to 17,134.79, 23,647.19 and 9,580.97

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Solution

The fourth proportional to 17,134.79, 23,647.19 and 9,580.97 is: 13,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,134.79 : 23,647.19 = 9,580.97 : x
  2. Step 2: Convert to fraction form
    17,134.79/23,647.19 = 9,580.97/x
  3. Step 3: Cross multiply
    17,134.79x = 23,647.19 × 9,580.97
  4. Step 4: Simplify right side
    17,134.79x = 226,562,851.83
  5. Step 5: Solve for x
    x = 226,562,851.83/17,134.79
  6. Step 6: Final answer
    x = 13,222.39

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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.