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Finding the Fourth Proportional to 16,273.32, 24,401.34 and 7,500.78

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Solution

The fourth proportional to 16,273.32, 24,401.34 and 7,500.78 is: 11,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.32 : 24,401.34 = 7,500.78 : x
  2. Step 2: Convert to fraction form
    16,273.32/24,401.34 = 7,500.78/x
  3. Step 3: Cross multiply
    16,273.32x = 24,401.34 × 7,500.78
  4. Step 4: Simplify right side
    16,273.32x = 183,029,083.05
  5. Step 5: Solve for x
    x = 183,029,083.05/16,273.32
  6. Step 6: Final answer
    x = 11,247.19

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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.