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Finding the Fourth Proportional to 13,197.36, 18,212.22 and 7,228.98

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Solution

The fourth proportional to 13,197.36, 18,212.22 and 7,228.98 is: 9,975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.36 : 18,212.22 = 7,228.98 : x
  2. Step 2: Convert to fraction form
    13,197.36/18,212.22 = 7,228.98/x
  3. Step 3: Cross multiply
    13,197.36x = 18,212.22 × 7,228.98
  4. Step 4: Simplify right side
    13,197.36x = 131,655,774.14
  5. Step 5: Solve for x
    x = 131,655,774.14/13,197.36
  6. Step 6: Final answer
    x = 9,975.92

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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.