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Finding the Fourth Proportional to 14,300.50, 21,452.25 and 3,912.25

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Solution

The fourth proportional to 14,300.50, 21,452.25 and 3,912.25 is: 5,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,300.50 : 21,452.25 = 3,912.25 : x
  2. Step 2: Convert to fraction form
    14,300.50/21,452.25 = 3,912.25/x
  3. Step 3: Cross multiply
    14,300.50x = 21,452.25 × 3,912.25
  4. Step 4: Simplify right side
    14,300.50x = 83,926,565.06
  5. Step 5: Solve for x
    x = 83,926,565.06/14,300.50
  6. Step 6: Final answer
    x = 5,868.79

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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.