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Finding the Fourth Proportional to 22,447.88, 33,671.99 and 9,964.55

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Solution

The fourth proportional to 22,447.88, 33,671.99 and 9,964.55 is: 14,946.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,447.88 : 33,671.99 = 9,964.55 : x
  2. Step 2: Convert to fraction form
    22,447.88/33,671.99 = 9,964.55/x
  3. Step 3: Cross multiply
    22,447.88x = 33,671.99 × 9,964.55
  4. Step 4: Simplify right side
    22,447.88x = 335,526,009.77
  5. Step 5: Solve for x
    x = 335,526,009.77/22,447.88
  6. Step 6: Final answer
    x = 14,946.89

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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.