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Finding the Fourth Proportional to 26,270.22, 39,412.22 and 8,740.20

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Solution

The fourth proportional to 26,270.22, 39,412.22 and 8,740.20 is: 13,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,270.22 : 39,412.22 = 8,740.20 : x
  2. Step 2: Convert to fraction form
    26,270.22/39,412.22 = 8,740.20/x
  3. Step 3: Cross multiply
    26,270.22x = 39,412.22 × 8,740.20
  4. Step 4: Simplify right side
    26,270.22x = 344,470,838.50
  5. Step 5: Solve for x
    x = 344,470,838.50/26,270.22
  6. Step 6: Final answer
    x = 13,112.60

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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.