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Finding the Fourth Proportional to 13,105.71, 18,085.98 and 7,137.41

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Solution

The fourth proportional to 13,105.71, 18,085.98 and 7,137.41 is: 9,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105.71 : 18,085.98 = 7,137.41 : x
  2. Step 2: Convert to fraction form
    13,105.71/18,085.98 = 7,137.41/x
  3. Step 3: Cross multiply
    13,105.71x = 18,085.98 × 7,137.41
  4. Step 4: Simplify right side
    13,105.71x = 129,086,964.08
  5. Step 5: Solve for x
    x = 129,086,964.08/13,105.71
  6. Step 6: Final answer
    x = 9,849.67

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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.