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Finding the Fourth Proportional to 22,645.82, 33,957.80 and 9,494.66

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Solution

The fourth proportional to 22,645.82, 33,957.80 and 9,494.66 is: 14,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,645.82 : 33,957.80 = 9,494.66 : x
  2. Step 2: Convert to fraction form
    22,645.82/33,957.80 = 9,494.66/x
  3. Step 3: Cross multiply
    22,645.82x = 33,957.80 × 9,494.66
  4. Step 4: Simplify right side
    22,645.82x = 322,417,548.09
  5. Step 5: Solve for x
    x = 322,417,548.09/22,645.82
  6. Step 6: Final answer
    x = 14,237.40

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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.