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Finding the Fourth Proportional to 17,009, 23,472.42 and 9,557

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Solution

The fourth proportional to 17,009, 23,472.42 and 9,557 is: 13,188.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,009 : 23,472.42 = 9,557 : x
  2. Step 2: Convert to fraction form
    17,009/23,472.42 = 9,557/x
  3. Step 3: Cross multiply
    17,009x = 23,472.42 × 9,557
  4. Step 4: Simplify right side
    17,009x = 224,325,917.94
  5. Step 5: Solve for x
    x = 224,325,917.94/17,009
  6. Step 6: Final answer
    x = 13,188.66

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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.