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Finding the Fourth Proportional to 17,309.51, 23,887.14 and 9,351.73

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Solution

The fourth proportional to 17,309.51, 23,887.14 and 9,351.73 is: 12,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,309.51 : 23,887.14 = 9,351.73 : x
  2. Step 2: Convert to fraction form
    17,309.51/23,887.14 = 9,351.73/x
  3. Step 3: Cross multiply
    17,309.51x = 23,887.14 × 9,351.73
  4. Step 4: Simplify right side
    17,309.51x = 223,386,036.99
  5. Step 5: Solve for x
    x = 223,386,036.99/17,309.51
  6. Step 6: Final answer
    x = 12,905.39

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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.