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Finding the Fourth Proportional to 22,342.97, 33,514.43 and 5,703.01

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Solution

The fourth proportional to 22,342.97, 33,514.43 and 5,703.01 is: 8,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,342.97 : 33,514.43 = 5,703.01 : x
  2. Step 2: Convert to fraction form
    22,342.97/33,514.43 = 5,703.01/x
  3. Step 3: Cross multiply
    22,342.97x = 33,514.43 × 5,703.01
  4. Step 4: Simplify right side
    22,342.97x = 191,132,933.35
  5. Step 5: Solve for x
    x = 191,132,933.35/22,342.97
  6. Step 6: Final answer
    x = 8,554.50

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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.