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Finding the Fourth Proportional to 21,847.68, 30,150 and 11,911.68

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Solution

The fourth proportional to 21,847.68, 30,150 and 11,911.68 is: 16,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,847.68 : 30,150 = 11,911.68 : x
  2. Step 2: Convert to fraction form
    21,847.68/30,150 = 11,911.68/x
  3. Step 3: Cross multiply
    21,847.68x = 30,150 × 11,911.68
  4. Step 4: Simplify right side
    21,847.68x = 359,137,152
  5. Step 5: Solve for x
    x = 359,137,152/21,847.68
  6. Step 6: Final answer
    x = 16,438.23

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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.