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Finding the Fourth Proportional to 14,216.50, 21,324.75 and 3,828.25

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Solution

The fourth proportional to 14,216.50, 21,324.75 and 3,828.25 is: 5,742.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.50 : 21,324.75 = 3,828.25 : x
  2. Step 2: Convert to fraction form
    14,216.50/21,324.75 = 3,828.25/x
  3. Step 3: Cross multiply
    14,216.50x = 21,324.75 × 3,828.25
  4. Step 4: Simplify right side
    14,216.50x = 81,636,474.19
  5. Step 5: Solve for x
    x = 81,636,474.19/14,216.50
  6. Step 6: Final answer
    x = 5,742.38

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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.