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Finding the Fourth Proportional to 14,216.96, 21,326.52 and 3,828.80

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Solution

The fourth proportional to 14,216.96, 21,326.52 and 3,828.80 is: 5,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.96 : 21,326.52 = 3,828.80 : x
  2. Step 2: Convert to fraction form
    14,216.96/21,326.52 = 3,828.80/x
  3. Step 3: Cross multiply
    14,216.96x = 21,326.52 × 3,828.80
  4. Step 4: Simplify right side
    14,216.96x = 81,654,979.78
  5. Step 5: Solve for x
    x = 81,654,979.78/14,216.96
  6. Step 6: Final answer
    x = 5,743.49

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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.