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Finding the Fourth Proportional to 12,858.24, 19,274.16 and 6,276.33

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Solution

The fourth proportional to 12,858.24, 19,274.16 and 6,276.33 is: 9,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.24 : 19,274.16 = 6,276.33 : x
  2. Step 2: Convert to fraction form
    12,858.24/19,274.16 = 6,276.33/x
  3. Step 3: Cross multiply
    12,858.24x = 19,274.16 × 6,276.33
  4. Step 4: Simplify right side
    12,858.24x = 120,970,988.63
  5. Step 5: Solve for x
    x = 120,970,988.63/12,858.24
  6. Step 6: Final answer
    x = 9,408.05

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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.