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Finding the Fourth Proportional to 22,437, 33,651.18 and 7,645.80

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Solution

The fourth proportional to 22,437, 33,651.18 and 7,645.80 is: 11,467.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,437 : 33,651.18 = 7,645.80 : x
  2. Step 2: Convert to fraction form
    22,437/33,651.18 = 7,645.80/x
  3. Step 3: Cross multiply
    22,437x = 33,651.18 × 7,645.80
  4. Step 4: Simplify right side
    22,437x = 257,290,192.04
  5. Step 5: Solve for x
    x = 257,290,192.04/22,437
  6. Step 6: Final answer
    x = 11,467.23

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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.