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Finding the Fourth Proportional to 22,992, 31,732.80 and 17,393.28

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Solution

The fourth proportional to 22,992, 31,732.80 and 17,393.28 is: 24,005.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,992 : 31,732.80 = 17,393.28 : x
  2. Step 2: Convert to fraction form
    22,992/31,732.80 = 17,393.28/x
  3. Step 3: Cross multiply
    22,992x = 31,732.80 × 17,393.28
  4. Step 4: Simplify right side
    22,992x = 551,937,475.58
  5. Step 5: Solve for x
    x = 551,937,475.58/22,992
  6. Step 6: Final answer
    x = 24,005.63

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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.