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Finding the Fourth Proportional to 14,216.54, 21,324.80 and 3,828.29

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Solution

The fourth proportional to 14,216.54, 21,324.80 and 3,828.29 is: 5,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.54 : 21,324.80 = 3,828.29 : x
  2. Step 2: Convert to fraction form
    14,216.54/21,324.80 = 3,828.29/x
  3. Step 3: Cross multiply
    14,216.54x = 21,324.80 × 3,828.29
  4. Step 4: Simplify right side
    14,216.54x = 81,637,421.54
  5. Step 5: Solve for x
    x = 81,637,421.54/14,216.54
  6. Step 6: Final answer
    x = 5,742.43

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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.