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Finding the Fourth Proportional to 13,274.90, 18,311.74 and 8,298.26

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Solution

The fourth proportional to 13,274.90, 18,311.74 and 8,298.26 is: 11,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.90 : 18,311.74 = 8,298.26 : x
  2. Step 2: Convert to fraction form
    13,274.90/18,311.74 = 8,298.26/x
  3. Step 3: Cross multiply
    13,274.90x = 18,311.74 × 8,298.26
  4. Step 4: Simplify right side
    13,274.90x = 151,955,579.57
  5. Step 5: Solve for x
    x = 151,955,579.57/13,274.90
  6. Step 6: Final answer
    x = 11,446.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.