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Finding the Fourth Proportional to 23,788.69, 32,828.16 and 13,033.65

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Solution

The fourth proportional to 23,788.69, 32,828.16 and 13,033.65 is: 17,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.69 : 32,828.16 = 13,033.65 : x
  2. Step 2: Convert to fraction form
    23,788.69/32,828.16 = 13,033.65/x
  3. Step 3: Cross multiply
    23,788.69x = 32,828.16 × 13,033.65
  4. Step 4: Simplify right side
    23,788.69x = 427,870,747.58
  5. Step 5: Solve for x
    x = 427,870,747.58/23,788.69
  6. Step 6: Final answer
    x = 17,986.31

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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.