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Finding the Fourth Proportional to 23,952.69, 33,054.71 and 13,343

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Solution

The fourth proportional to 23,952.69, 33,054.71 and 13,343 is: 18,413.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.69 : 33,054.71 = 13,343 : x
  2. Step 2: Convert to fraction form
    23,952.69/33,054.71 = 13,343/x
  3. Step 3: Cross multiply
    23,952.69x = 33,054.71 × 13,343
  4. Step 4: Simplify right side
    23,952.69x = 441,048,995.53
  5. Step 5: Solve for x
    x = 441,048,995.53/23,952.69
  6. Step 6: Final answer
    x = 18,413.34

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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.