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Finding the Fourth Proportional to 22,051.72, 33,058.14 and 8,191

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Solution

The fourth proportional to 22,051.72, 33,058.14 and 8,191 is: 12,279.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.72 : 33,058.14 = 8,191 : x
  2. Step 2: Convert to fraction form
    22,051.72/33,058.14 = 8,191/x
  3. Step 3: Cross multiply
    22,051.72x = 33,058.14 × 8,191
  4. Step 4: Simplify right side
    22,051.72x = 270,779,224.74
  5. Step 5: Solve for x
    x = 270,779,224.74/22,051.72
  6. Step 6: Final answer
    x = 12,279.28

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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.