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Finding the Fourth Proportional to 17,009.12, 23,474.07 and 9,456.93

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Solution

The fourth proportional to 17,009.12, 23,474.07 and 9,456.93 is: 13,051.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009.12 : 23,474.07 = 9,456.93 : x
  2. Step 2: Convert to fraction form
    17,009.12/23,474.07 = 9,456.93/x
  3. Step 3: Cross multiply
    17,009.12x = 23,474.07 × 9,456.93
  4. Step 4: Simplify right side
    17,009.12x = 221,992,589.52
  5. Step 5: Solve for x
    x = 221,992,589.52/17,009.12
  6. Step 6: Final answer
    x = 13,051.39

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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.