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Finding the Fourth Proportional to 26,664, 40,002.48 and 8,196

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Solution

The fourth proportional to 26,664, 40,002.48 and 8,196 is: 12,295.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,664 : 40,002.48 = 8,196 : x
  2. Step 2: Convert to fraction form
    26,664/40,002.48 = 8,196/x
  3. Step 3: Cross multiply
    26,664x = 40,002.48 × 8,196
  4. Step 4: Simplify right side
    26,664x = 327,860,326.08
  5. Step 5: Solve for x
    x = 327,860,326.08/26,664
  6. Step 6: Final answer
    x = 12,295.99

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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.