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Finding the Fourth Proportional to 22,343.14, 33,514.50 and 5,702.94

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Solution

The fourth proportional to 22,343.14, 33,514.50 and 5,702.94 is: 8,554.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.14 : 33,514.50 = 5,702.94 : x
  2. Step 2: Convert to fraction form
    22,343.14/33,514.50 = 5,702.94/x
  3. Step 3: Cross multiply
    22,343.14x = 33,514.50 × 5,702.94
  4. Step 4: Simplify right side
    22,343.14x = 191,130,986.54
  5. Step 5: Solve for x
    x = 191,130,986.54/22,343.14
  6. Step 6: Final answer
    x = 8,554.35

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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.