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Finding the Fourth Proportional to 22,712.56, 34,057.32 and 10,390

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Solution

The fourth proportional to 22,712.56, 34,057.32 and 10,390 is: 15,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,712.56 : 34,057.32 = 10,390 : x
  2. Step 2: Convert to fraction form
    22,712.56/34,057.32 = 10,390/x
  3. Step 3: Cross multiply
    22,712.56x = 34,057.32 × 10,390
  4. Step 4: Simplify right side
    22,712.56x = 353,855,554.80
  5. Step 5: Solve for x
    x = 353,855,554.80/22,712.56
  6. Step 6: Final answer
    x = 15,579.73

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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.