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Finding the Fourth Proportional to 26,826.35, 40,239.53 and 7,106.45

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Solution

The fourth proportional to 26,826.35, 40,239.53 and 7,106.45 is: 10,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,826.35 : 40,239.53 = 7,106.45 : x
  2. Step 2: Convert to fraction form
    26,826.35/40,239.53 = 7,106.45/x
  3. Step 3: Cross multiply
    26,826.35x = 40,239.53 × 7,106.45
  4. Step 4: Simplify right side
    26,826.35x = 285,960,207.97
  5. Step 5: Solve for x
    x = 285,960,207.97/26,826.35
  6. Step 6: Final answer
    x = 10,659.68

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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.