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Finding the Fourth Proportional to 11,396.69, 17,038.82 and 9,661.05

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Solution

The fourth proportional to 11,396.69, 17,038.82 and 9,661.05 is: 14,443.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.69 : 17,038.82 = 9,661.05 : x
  2. Step 2: Convert to fraction form
    11,396.69/17,038.82 = 9,661.05/x
  3. Step 3: Cross multiply
    11,396.69x = 17,038.82 × 9,661.05
  4. Step 4: Simplify right side
    11,396.69x = 164,612,843.66
  5. Step 5: Solve for x
    x = 164,612,843.66/11,396.69
  6. Step 6: Final answer
    x = 14,443.92

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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.