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Finding the Fourth Proportional to 18,501, 27,755.16 and 6,020.22

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Solution

The fourth proportional to 18,501, 27,755.16 and 6,020.22 is: 9,031.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,501 : 27,755.16 = 6,020.22 : x
  2. Step 2: Convert to fraction form
    18,501/27,755.16 = 6,020.22/x
  3. Step 3: Cross multiply
    18,501x = 27,755.16 × 6,020.22
  4. Step 4: Simplify right side
    18,501x = 167,092,169.34
  5. Step 5: Solve for x
    x = 167,092,169.34/18,501
  6. Step 6: Final answer
    x = 9,031.52

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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.