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Finding the Fourth Proportional to 14,624.26, 20,176.22 and 8,333

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Solution

The fourth proportional to 14,624.26, 20,176.22 and 8,333 is: 11,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.26 : 20,176.22 = 8,333 : x
  2. Step 2: Convert to fraction form
    14,624.26/20,176.22 = 8,333/x
  3. Step 3: Cross multiply
    14,624.26x = 20,176.22 × 8,333
  4. Step 4: Simplify right side
    14,624.26x = 168,128,441.26
  5. Step 5: Solve for x
    x = 168,128,441.26/14,624.26
  6. Step 6: Final answer
    x = 11,496.54

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