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Finding the Fourth Proportional to 26,384.40, 39,570.39 and 7,659.50

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Solution

The fourth proportional to 26,384.40, 39,570.39 and 7,659.50 is: 11,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,384.40 : 39,570.39 = 7,659.50 : x
  2. Step 2: Convert to fraction form
    26,384.40/39,570.39 = 7,659.50/x
  3. Step 3: Cross multiply
    26,384.40x = 39,570.39 × 7,659.50
  4. Step 4: Simplify right side
    26,384.40x = 303,089,204.35
  5. Step 5: Solve for x
    x = 303,089,204.35/26,384.40
  6. Step 6: Final answer
    x = 11,487.44

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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.