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Finding the Fourth Proportional to 26,588.94, 39,881.97 and 8,119.50

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Solution

The fourth proportional to 26,588.94, 39,881.97 and 8,119.50 is: 12,178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.94 : 39,881.97 = 8,119.50 : x
  2. Step 2: Convert to fraction form
    26,588.94/39,881.97 = 8,119.50/x
  3. Step 3: Cross multiply
    26,588.94x = 39,881.97 × 8,119.50
  4. Step 4: Simplify right side
    26,588.94x = 323,821,655.42
  5. Step 5: Solve for x
    x = 323,821,655.42/26,588.94
  6. Step 6: Final answer
    x = 12,178.81

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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.