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Finding the Fourth Proportional to 13,213.80, 19,805.40 and 7,358.67

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Solution

The fourth proportional to 13,213.80, 19,805.40 and 7,358.67 is: 11,029.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,213.80 : 19,805.40 = 7,358.67 : x
  2. Step 2: Convert to fraction form
    13,213.80/19,805.40 = 7,358.67/x
  3. Step 3: Cross multiply
    13,213.80x = 19,805.40 × 7,358.67
  4. Step 4: Simplify right side
    13,213.80x = 145,741,402.82
  5. Step 5: Solve for x
    x = 145,741,402.82/13,213.80
  6. Step 6: Final answer
    x = 11,029.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.