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Finding the Fourth Proportional to 15,678, 23,523.96 and 6,336.26

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Solution

The fourth proportional to 15,678, 23,523.96 and 6,336.26 is: 9,507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 23,523.96 = 6,336.26 : x
  2. Step 2: Convert to fraction form
    15,678/23,523.96 = 6,336.26/x
  3. Step 3: Cross multiply
    15,678x = 23,523.96 × 6,336.26
  4. Step 4: Simplify right side
    15,678x = 149,053,921.15
  5. Step 5: Solve for x
    x = 149,053,921.15/15,678
  6. Step 6: Final answer
    x = 9,507.20

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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.