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Finding the Fourth Proportional to 16,174.35, 24,261.53 and 5,082

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Solution

The fourth proportional to 16,174.35, 24,261.53 and 5,082 is: 7,623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,174.35 : 24,261.53 = 5,082 : x
  2. Step 2: Convert to fraction form
    16,174.35/24,261.53 = 5,082/x
  3. Step 3: Cross multiply
    16,174.35x = 24,261.53 × 5,082
  4. Step 4: Simplify right side
    16,174.35x = 123,297,070.05
  5. Step 5: Solve for x
    x = 123,297,070.05/16,174.35
  6. Step 6: Final answer
    x = 7,623.00

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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.