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Finding the Fourth Proportional to 13,108.99, 19,650.50 and 5,206.88

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Solution

The fourth proportional to 13,108.99, 19,650.50 and 5,206.88 is: 7,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,108.99 : 19,650.50 = 5,206.88 : x
  2. Step 2: Convert to fraction form
    13,108.99/19,650.50 = 5,206.88/x
  3. Step 3: Cross multiply
    13,108.99x = 19,650.50 × 5,206.88
  4. Step 4: Simplify right side
    13,108.99x = 102,317,838.06
  5. Step 5: Solve for x
    x = 102,317,838.06/13,108.99
  6. Step 6: Final answer
    x = 7,805.17

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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.