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Finding the Fourth Proportional to 14,492.33, 19,999.38 and 8,205.29

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Solution

The fourth proportional to 14,492.33, 19,999.38 and 8,205.29 is: 11,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.33 : 19,999.38 = 8,205.29 : x
  2. Step 2: Convert to fraction form
    14,492.33/19,999.38 = 8,205.29/x
  3. Step 3: Cross multiply
    14,492.33x = 19,999.38 × 8,205.29
  4. Step 4: Simplify right side
    14,492.33x = 164,100,571.70
  5. Step 5: Solve for x
    x = 164,100,571.70/14,492.33
  6. Step 6: Final answer
    x = 11,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.