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Finding the Fourth Proportional to 17,106, 23,603.40 and 11,431.62

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Solution

The fourth proportional to 17,106, 23,603.40 and 11,431.62 is: 15,773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,106 : 23,603.40 = 11,431.62 : x
  2. Step 2: Convert to fraction form
    17,106/23,603.40 = 11,431.62/x
  3. Step 3: Cross multiply
    17,106x = 23,603.40 × 11,431.62
  4. Step 4: Simplify right side
    17,106x = 269,825,099.51
  5. Step 5: Solve for x
    x = 269,825,099.51/17,106
  6. Step 6: Final answer
    x = 15,773.71

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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.