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Finding the Fourth Proportional to 22,629.64, 33,931.50 and 21,325

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Solution

The fourth proportional to 22,629.64, 33,931.50 and 21,325 is: 31,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,629.64 : 33,931.50 = 21,325 : x
  2. Step 2: Convert to fraction form
    22,629.64/33,931.50 = 21,325/x
  3. Step 3: Cross multiply
    22,629.64x = 33,931.50 × 21,325
  4. Step 4: Simplify right side
    22,629.64x = 723,589,237.50
  5. Step 5: Solve for x
    x = 723,589,237.50/22,629.64
  6. Step 6: Final answer
    x = 31,975.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.