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Finding the Fourth Proportional to 21,076.94, 31,606.05 and 11,214.14

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Solution

The fourth proportional to 21,076.94, 31,606.05 and 11,214.14 is: 16,816.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,076.94 : 31,606.05 = 11,214.14 : x
  2. Step 2: Convert to fraction form
    21,076.94/31,606.05 = 11,214.14/x
  3. Step 3: Cross multiply
    21,076.94x = 31,606.05 × 11,214.14
  4. Step 4: Simplify right side
    21,076.94x = 354,434,669.55
  5. Step 5: Solve for x
    x = 354,434,669.55/21,076.94
  6. Step 6: Final answer
    x = 16,816.23

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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.