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Finding the Fourth Proportional to 22,304.50, 33,469.71 and 9,992.50

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Solution

The fourth proportional to 22,304.50, 33,469.71 and 9,992.50 is: 14,994.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.50 : 33,469.71 = 9,992.50 : x
  2. Step 2: Convert to fraction form
    22,304.50/33,469.71 = 9,992.50/x
  3. Step 3: Cross multiply
    22,304.50x = 33,469.71 × 9,992.50
  4. Step 4: Simplify right side
    22,304.50x = 334,446,077.18
  5. Step 5: Solve for x
    x = 334,446,077.18/22,304.50
  6. Step 6: Final answer
    x = 14,994.56

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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.