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Finding the Fourth Proportional to 23,788.62, 32,828.28 and 13,033.50

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Solution

The fourth proportional to 23,788.62, 32,828.28 and 13,033.50 is: 17,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,788.62 : 32,828.28 = 13,033.50 : x
  2. Step 2: Convert to fraction form
    23,788.62/32,828.28 = 13,033.50/x
  3. Step 3: Cross multiply
    23,788.62x = 32,828.28 × 13,033.50
  4. Step 4: Simplify right side
    23,788.62x = 427,867,387.38
  5. Step 5: Solve for x
    x = 427,867,387.38/23,788.62
  6. Step 6: Final answer
    x = 17,986.22

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Why These Related Problems?

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