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Finding the Fourth Proportional to 22,033.36, 30,394.52 and 13,537.40

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Solution

The fourth proportional to 22,033.36, 30,394.52 and 13,537.40 is: 18,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.36 : 30,394.52 = 13,537.40 : x
  2. Step 2: Convert to fraction form
    22,033.36/30,394.52 = 13,537.40/x
  3. Step 3: Cross multiply
    22,033.36x = 30,394.52 × 13,537.40
  4. Step 4: Simplify right side
    22,033.36x = 411,462,775.05
  5. Step 5: Solve for x
    x = 411,462,775.05/22,033.36
  6. Step 6: Final answer
    x = 18,674.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.