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Finding the Fourth Proportional to 13,922, 19,212.15 and 7,548.41

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Solution

The fourth proportional to 13,922, 19,212.15 and 7,548.41 is: 10,416.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,922 : 19,212.15 = 7,548.41 : x
  2. Step 2: Convert to fraction form
    13,922/19,212.15 = 7,548.41/x
  3. Step 3: Cross multiply
    13,922x = 19,212.15 × 7,548.41
  4. Step 4: Simplify right side
    13,922x = 145,021,185.18
  5. Step 5: Solve for x
    x = 145,021,185.18/13,922
  6. Step 6: Final answer
    x = 10,416.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.