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Finding the Fourth Proportional to 13,096.00, 19,645.84 and 4,208.35

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Solution

The fourth proportional to 13,096.00, 19,645.84 and 4,208.35 is: 6,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.00 : 19,645.84 = 4,208.35 : x
  2. Step 2: Convert to fraction form
    13,096.00/19,645.84 = 4,208.35/x
  3. Step 3: Cross multiply
    13,096.00x = 19,645.84 × 4,208.35
  4. Step 4: Simplify right side
    13,096.00x = 82,676,511.13
  5. Step 5: Solve for x
    x = 82,676,511.13/13,096.00
  6. Step 6: Final answer
    x = 6,313.11

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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.