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Finding the Fourth Proportional to 13,242.29, 19,934.96 and 12,098.21

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Solution

The fourth proportional to 13,242.29, 19,934.96 and 12,098.21 is: 18,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,242.29 : 19,934.96 = 12,098.21 : x
  2. Step 2: Convert to fraction form
    13,242.29/19,934.96 = 12,098.21/x
  3. Step 3: Cross multiply
    13,242.29x = 19,934.96 × 12,098.21
  4. Step 4: Simplify right side
    13,242.29x = 241,177,352.44
  5. Step 5: Solve for x
    x = 241,177,352.44/13,242.29
  6. Step 6: Final answer
    x = 18,212.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.