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Finding the Fourth Proportional to 26,027, 39,041.58 and 7,559

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Solution

The fourth proportional to 26,027, 39,041.58 and 7,559 is: 11,338.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,027 : 39,041.58 = 7,559 : x
  2. Step 2: Convert to fraction form
    26,027/39,041.58 = 7,559/x
  3. Step 3: Cross multiply
    26,027x = 39,041.58 × 7,559
  4. Step 4: Simplify right side
    26,027x = 295,115,303.22
  5. Step 5: Solve for x
    x = 295,115,303.22/26,027
  6. Step 6: Final answer
    x = 11,338.81

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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.