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Finding the Fourth Proportional to 13,197.85, 18,213.19 and 7,229.77

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Solution

The fourth proportional to 13,197.85, 18,213.19 and 7,229.77 is: 9,977.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.85 : 18,213.19 = 7,229.77 : x
  2. Step 2: Convert to fraction form
    13,197.85/18,213.19 = 7,229.77/x
  3. Step 3: Cross multiply
    13,197.85x = 18,213.19 × 7,229.77
  4. Step 4: Simplify right side
    13,197.85x = 131,677,111.06
  5. Step 5: Solve for x
    x = 131,677,111.06/13,197.85
  6. Step 6: Final answer
    x = 9,977.17

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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.