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Finding the Fourth Proportional to 14,794.54, 22,197.26 and 7,774.27

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Solution

The fourth proportional to 14,794.54, 22,197.26 and 7,774.27 is: 11,664.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,794.54 : 22,197.26 = 7,774.27 : x
  2. Step 2: Convert to fraction form
    14,794.54/22,197.26 = 7,774.27/x
  3. Step 3: Cross multiply
    14,794.54x = 22,197.26 × 7,774.27
  4. Step 4: Simplify right side
    14,794.54x = 172,567,492.50
  5. Step 5: Solve for x
    x = 172,567,492.50/14,794.54
  6. Step 6: Final answer
    x = 11,664.27

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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.