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Finding the Fourth Proportional to 14,181.41, 19,568.93 and 8,214.99

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Solution

The fourth proportional to 14,181.41, 19,568.93 and 8,214.99 is: 11,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,181.41 : 19,568.93 = 8,214.99 : x
  2. Step 2: Convert to fraction form
    14,181.41/19,568.93 = 8,214.99/x
  3. Step 3: Cross multiply
    14,181.41x = 19,568.93 × 8,214.99
  4. Step 4: Simplify right side
    14,181.41x = 160,758,523.19
  5. Step 5: Solve for x
    x = 160,758,523.19/14,181.41
  6. Step 6: Final answer
    x = 11,335.87

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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.