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Finding the Fourth Proportional to 12,199.35, 18,293.85 and 3,877.14

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Solution

The fourth proportional to 12,199.35, 18,293.85 and 3,877.14 is: 5,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.35 : 18,293.85 = 3,877.14 : x
  2. Step 2: Convert to fraction form
    12,199.35/18,293.85 = 3,877.14/x
  3. Step 3: Cross multiply
    12,199.35x = 18,293.85 × 3,877.14
  4. Step 4: Simplify right side
    12,199.35x = 70,927,886.19
  5. Step 5: Solve for x
    x = 70,927,886.19/12,199.35
  6. Step 6: Final answer
    x = 5,814.07

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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.