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Finding the Fourth Proportional to 14,771.23, 22,142.82 and 5,892.02

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Solution

The fourth proportional to 14,771.23, 22,142.82 and 5,892.02 is: 8,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,771.23 : 22,142.82 = 5,892.02 : x
  2. Step 2: Convert to fraction form
    14,771.23/22,142.82 = 5,892.02/x
  3. Step 3: Cross multiply
    14,771.23x = 22,142.82 × 5,892.02
  4. Step 4: Simplify right side
    14,771.23x = 130,465,827.58
  5. Step 5: Solve for x
    x = 130,465,827.58/14,771.23
  6. Step 6: Final answer
    x = 8,832.43

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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.