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Finding the Fourth Proportional to 21,811.25, 30,099.93 and 12,380.42

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Solution

The fourth proportional to 21,811.25, 30,099.93 and 12,380.42 is: 17,085.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811.25 : 30,099.93 = 12,380.42 : x
  2. Step 2: Convert to fraction form
    21,811.25/30,099.93 = 12,380.42/x
  3. Step 3: Cross multiply
    21,811.25x = 30,099.93 × 12,380.42
  4. Step 4: Simplify right side
    21,811.25x = 372,649,775.37
  5. Step 5: Solve for x
    x = 372,649,775.37/21,811.25
  6. Step 6: Final answer
    x = 17,085.21

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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.