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Finding the Fourth Proportional to 26,323.50, 39,492.09 and 7,855.50

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Solution

The fourth proportional to 26,323.50, 39,492.09 and 7,855.50 is: 11,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,323.50 : 39,492.09 = 7,855.50 : x
  2. Step 2: Convert to fraction form
    26,323.50/39,492.09 = 7,855.50/x
  3. Step 3: Cross multiply
    26,323.50x = 39,492.09 × 7,855.50
  4. Step 4: Simplify right side
    26,323.50x = 310,230,113.00
  5. Step 5: Solve for x
    x = 310,230,113.00/26,323.50
  6. Step 6: Final answer
    x = 11,785.29

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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.