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Finding the Fourth Proportional to 13,238.37, 19,859.99 and 4,354.20

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Solution

The fourth proportional to 13,238.37, 19,859.99 and 4,354.20 is: 6,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,238.37 : 19,859.99 = 4,354.20 : x
  2. Step 2: Convert to fraction form
    13,238.37/19,859.99 = 4,354.20/x
  3. Step 3: Cross multiply
    13,238.37x = 19,859.99 × 4,354.20
  4. Step 4: Simplify right side
    13,238.37x = 86,474,346.69
  5. Step 5: Solve for x
    x = 86,474,346.69/13,238.37
  6. Step 6: Final answer
    x = 6,532.10

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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.