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Finding the Fourth Proportional to 14,357.39, 21,537.31 and 3,829.01

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Solution

The fourth proportional to 14,357.39, 21,537.31 and 3,829.01 is: 5,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,357.39 : 21,537.31 = 3,829.01 : x
  2. Step 2: Convert to fraction form
    14,357.39/21,537.31 = 3,829.01/x
  3. Step 3: Cross multiply
    14,357.39x = 21,537.31 × 3,829.01
  4. Step 4: Simplify right side
    14,357.39x = 82,466,619.63
  5. Step 5: Solve for x
    x = 82,466,619.63/14,357.39
  6. Step 6: Final answer
    x = 5,743.84

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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.