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Finding the Fourth Proportional to 13,110.98, 18,093.57 and 7,142.84

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Solution

The fourth proportional to 13,110.98, 18,093.57 and 7,142.84 is: 9,857.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.98 : 18,093.57 = 7,142.84 : x
  2. Step 2: Convert to fraction form
    13,110.98/18,093.57 = 7,142.84/x
  3. Step 3: Cross multiply
    13,110.98x = 18,093.57 × 7,142.84
  4. Step 4: Simplify right side
    13,110.98x = 129,239,475.54
  5. Step 5: Solve for x
    x = 129,239,475.54/13,110.98
  6. Step 6: Final answer
    x = 9,857.35

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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.