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Finding the Fourth Proportional to 11,623.25, 17,400.51 and 7,667.21

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Solution

The fourth proportional to 11,623.25, 17,400.51 and 7,667.21 is: 11,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,623.25 : 17,400.51 = 7,667.21 : x
  2. Step 2: Convert to fraction form
    11,623.25/17,400.51 = 7,667.21/x
  3. Step 3: Cross multiply
    11,623.25x = 17,400.51 × 7,667.21
  4. Step 4: Simplify right side
    11,623.25x = 133,413,277.27
  5. Step 5: Solve for x
    x = 133,413,277.27/11,623.25
  6. Step 6: Final answer
    x = 11,478.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.