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Finding the Fourth Proportional to 13,014, 19,523.46 and 5,223.42

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Solution

The fourth proportional to 13,014, 19,523.46 and 5,223.42 is: 7,836.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014 : 19,523.46 = 5,223.42 : x
  2. Step 2: Convert to fraction form
    13,014/19,523.46 = 5,223.42/x
  3. Step 3: Cross multiply
    13,014x = 19,523.46 × 5,223.42
  4. Step 4: Simplify right side
    13,014x = 101,979,231.43
  5. Step 5: Solve for x
    x = 101,979,231.43/13,014
  6. Step 6: Final answer
    x = 7,836.12

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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.