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Finding the Fourth Proportional to 12,181.68, 18,235.50 and 7,802.19

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Solution

The fourth proportional to 12,181.68, 18,235.50 and 7,802.19 is: 11,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.68 : 18,235.50 = 7,802.19 : x
  2. Step 2: Convert to fraction form
    12,181.68/18,235.50 = 7,802.19/x
  3. Step 3: Cross multiply
    12,181.68x = 18,235.50 × 7,802.19
  4. Step 4: Simplify right side
    12,181.68x = 142,276,835.75
  5. Step 5: Solve for x
    x = 142,276,835.75/12,181.68
  6. Step 6: Final answer
    x = 11,679.57

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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.