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Finding the Fourth Proportional to 12,181.94, 16,811.18 and 6,592.94

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Solution

The fourth proportional to 12,181.94, 16,811.18 and 6,592.94 is: 9,098.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.94 : 16,811.18 = 6,592.94 : x
  2. Step 2: Convert to fraction form
    12,181.94/16,811.18 = 6,592.94/x
  3. Step 3: Cross multiply
    12,181.94x = 16,811.18 × 6,592.94
  4. Step 4: Simplify right side
    12,181.94x = 110,835,101.07
  5. Step 5: Solve for x
    x = 110,835,101.07/12,181.94
  6. Step 6: Final answer
    x = 9,098.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.