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Finding the Fourth Proportional to 23,976, 33,089.76 and 14,040

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Solution

The fourth proportional to 23,976, 33,089.76 and 14,040 is: 19,376.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976 : 33,089.76 = 14,040 : x
  2. Step 2: Convert to fraction form
    23,976/33,089.76 = 14,040/x
  3. Step 3: Cross multiply
    23,976x = 33,089.76 × 14,040
  4. Step 4: Simplify right side
    23,976x = 464,580,230.40
  5. Step 5: Solve for x
    x = 464,580,230.40/23,976
  6. Step 6: Final answer
    x = 19,376.89

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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.