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Finding the Fourth Proportional to 22,980, 31,725.36 and 17,381.28

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Solution

The fourth proportional to 22,980, 31,725.36 and 17,381.28 is: 23,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,980 : 31,725.36 = 17,381.28 : x
  2. Step 2: Convert to fraction form
    22,980/31,725.36 = 17,381.28/x
  3. Step 3: Cross multiply
    22,980x = 31,725.36 × 17,381.28
  4. Step 4: Simplify right side
    22,980x = 551,427,365.26
  5. Step 5: Solve for x
    x = 551,427,365.26/22,980
  6. Step 6: Final answer
    x = 23,995.97

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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.