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Finding the Fourth Proportional to 26,364.40, 39,540.39 and 7,639.50

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Solution

The fourth proportional to 26,364.40, 39,540.39 and 7,639.50 is: 11,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,364.40 : 39,540.39 = 7,639.50 : x
  2. Step 2: Convert to fraction form
    26,364.40/39,540.39 = 7,639.50/x
  3. Step 3: Cross multiply
    26,364.40x = 39,540.39 × 7,639.50
  4. Step 4: Simplify right side
    26,364.40x = 302,068,611.70
  5. Step 5: Solve for x
    x = 302,068,611.70/26,364.40
  6. Step 6: Final answer
    x = 11,457.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.