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Finding the Fourth Proportional to 22,496.88, 33,701.45 and 14,682

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Solution

The fourth proportional to 22,496.88, 33,701.45 and 14,682 is: 21,994.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,496.88 : 33,701.45 = 14,682 : x
  2. Step 2: Convert to fraction form
    22,496.88/33,701.45 = 14,682/x
  3. Step 3: Cross multiply
    22,496.88x = 33,701.45 × 14,682
  4. Step 4: Simplify right side
    22,496.88x = 494,804,615.49
  5. Step 5: Solve for x
    x = 494,804,615.49/22,496.88
  6. Step 6: Final answer
    x = 21,994.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.