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Finding the Fourth Proportional to 23,927, 33,017.91 and 13,171.64

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Solution

The fourth proportional to 23,927, 33,017.91 and 13,171.64 is: 18,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927 : 33,017.91 = 13,171.64 : x
  2. Step 2: Convert to fraction form
    23,927/33,017.91 = 13,171.64/x
  3. Step 3: Cross multiply
    23,927x = 33,017.91 × 13,171.64
  4. Step 4: Simplify right side
    23,927x = 434,900,024.07
  5. Step 5: Solve for x
    x = 434,900,024.07/23,927
  6. Step 6: Final answer
    x = 18,176.12

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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.