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Finding the Fourth Proportional to 11,653.82, 17,391.15 and 10,408.22

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Solution

The fourth proportional to 11,653.82, 17,391.15 and 10,408.22 is: 15,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.82 : 17,391.15 = 10,408.22 : x
  2. Step 2: Convert to fraction form
    11,653.82/17,391.15 = 10,408.22/x
  3. Step 3: Cross multiply
    11,653.82x = 17,391.15 × 10,408.22
  4. Step 4: Simplify right side
    11,653.82x = 181,010,915.25
  5. Step 5: Solve for x
    x = 181,010,915.25/11,653.82
  6. Step 6: Final answer
    x = 15,532.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.