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Finding the Fourth Proportional to 26,907.59, 40,362.91 and 8,188.24

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Solution

The fourth proportional to 26,907.59, 40,362.91 and 8,188.24 is: 12,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,907.59 : 40,362.91 = 8,188.24 : x
  2. Step 2: Convert to fraction form
    26,907.59/40,362.91 = 8,188.24/x
  3. Step 3: Cross multiply
    26,907.59x = 40,362.91 × 8,188.24
  4. Step 4: Simplify right side
    26,907.59x = 330,501,052.33
  5. Step 5: Solve for x
    x = 330,501,052.33/26,907.59
  6. Step 6: Final answer
    x = 12,282.82

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1.5x scale

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.