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Finding the Fourth Proportional to 15,233.25, 21,024.77 and 8,609.25

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Solution

The fourth proportional to 15,233.25, 21,024.77 and 8,609.25 is: 11,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,233.25 : 21,024.77 = 8,609.25 : x
  2. Step 2: Convert to fraction form
    15,233.25/21,024.77 = 8,609.25/x
  3. Step 3: Cross multiply
    15,233.25x = 21,024.77 × 8,609.25
  4. Step 4: Simplify right side
    15,233.25x = 181,007,458.08
  5. Step 5: Solve for x
    x = 181,007,458.08/15,233.25
  6. Step 6: Final answer
    x = 11,882.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.