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Finding the Fourth Proportional to 13,215.99, 19,822.04 and 3,853.49

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Solution

The fourth proportional to 13,215.99, 19,822.04 and 3,853.49 is: 5,779.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,215.99 : 19,822.04 = 3,853.49 : x
  2. Step 2: Convert to fraction form
    13,215.99/19,822.04 = 3,853.49/x
  3. Step 3: Cross multiply
    13,215.99x = 19,822.04 × 3,853.49
  4. Step 4: Simplify right side
    13,215.99x = 76,384,032.92
  5. Step 5: Solve for x
    x = 76,384,032.92/13,215.99
  6. Step 6: Final answer
    x = 5,779.67

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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.