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Finding the Fourth Proportional to 23,992, 33,108.96 and 14,056

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Solution

The fourth proportional to 23,992, 33,108.96 and 14,056 is: 19,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992 : 33,108.96 = 14,056 : x
  2. Step 2: Convert to fraction form
    23,992/33,108.96 = 14,056/x
  3. Step 3: Cross multiply
    23,992x = 33,108.96 × 14,056
  4. Step 4: Simplify right side
    23,992x = 465,379,541.76
  5. Step 5: Solve for x
    x = 465,379,541.76/23,992
  6. Step 6: Final answer
    x = 19,397.28

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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.