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Finding the Fourth Proportional to 13,204.98, 19,798.05 and 6,181.16

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Solution

The fourth proportional to 13,204.98, 19,798.05 and 6,181.16 is: 9,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,204.98 : 19,798.05 = 6,181.16 : x
  2. Step 2: Convert to fraction form
    13,204.98/19,798.05 = 6,181.16/x
  3. Step 3: Cross multiply
    13,204.98x = 19,798.05 × 6,181.16
  4. Step 4: Simplify right side
    13,204.98x = 122,374,815.75
  5. Step 5: Solve for x
    x = 122,374,815.75/13,204.98
  6. Step 6: Final answer
    x = 9,267.32

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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.