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Finding the Fourth Proportional to 10,404.96, 15,623.84 and 8,223.42

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Solution

The fourth proportional to 10,404.96, 15,623.84 and 8,223.42 is: 12,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.96 : 15,623.84 = 8,223.42 : x
  2. Step 2: Convert to fraction form
    10,404.96/15,623.84 = 8,223.42/x
  3. Step 3: Cross multiply
    10,404.96x = 15,623.84 × 8,223.42
  4. Step 4: Simplify right side
    10,404.96x = 128,481,431.22
  5. Step 5: Solve for x
    x = 128,481,431.22/10,404.96
  6. Step 6: Final answer
    x = 12,348.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.