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Finding the Fourth Proportional to 16,503.80, 22,774.74 and 11,795.96

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Solution

The fourth proportional to 16,503.80, 22,774.74 and 11,795.96 is: 16,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,503.80 : 22,774.74 = 11,795.96 : x
  2. Step 2: Convert to fraction form
    16,503.80/22,774.74 = 11,795.96/x
  3. Step 3: Cross multiply
    16,503.80x = 22,774.74 × 11,795.96
  4. Step 4: Simplify right side
    16,503.80x = 268,649,922.05
  5. Step 5: Solve for x
    x = 268,649,922.05/16,503.80
  6. Step 6: Final answer
    x = 16,278.06

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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.