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Finding the Fourth Proportional to 14,781.81, 22,181.13 and 5,420.58

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Solution

The fourth proportional to 14,781.81, 22,181.13 and 5,420.58 is: 8,133.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,781.81 : 22,181.13 = 5,420.58 : x
  2. Step 2: Convert to fraction form
    14,781.81/22,181.13 = 5,420.58/x
  3. Step 3: Cross multiply
    14,781.81x = 22,181.13 × 5,420.58
  4. Step 4: Simplify right side
    14,781.81x = 120,234,589.66
  5. Step 5: Solve for x
    x = 120,234,589.66/14,781.81
  6. Step 6: Final answer
    x = 8,133.96

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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.