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Finding the Fourth Proportional to 26,588.20, 39,888.06 and 7,869.55

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Solution

The fourth proportional to 26,588.20, 39,888.06 and 7,869.55 is: 11,806.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,588.20 : 39,888.06 = 7,869.55 : x
  2. Step 2: Convert to fraction form
    26,588.20/39,888.06 = 7,869.55/x
  3. Step 3: Cross multiply
    26,588.20x = 39,888.06 × 7,869.55
  4. Step 4: Simplify right side
    26,588.20x = 313,901,004.50
  5. Step 5: Solve for x
    x = 313,901,004.50/26,588.20
  6. Step 6: Final answer
    x = 11,806.03

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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.