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Finding the Fourth Proportional to 20,665.09, 30,999.66 and 7,514.38

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Solution

The fourth proportional to 20,665.09, 30,999.66 and 7,514.38 is: 11,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.09 : 30,999.66 = 7,514.38 : x
  2. Step 2: Convert to fraction form
    20,665.09/30,999.66 = 7,514.38/x
  3. Step 3: Cross multiply
    20,665.09x = 30,999.66 × 7,514.38
  4. Step 4: Simplify right side
    20,665.09x = 232,943,225.11
  5. Step 5: Solve for x
    x = 232,943,225.11/20,665.09
  6. Step 6: Final answer
    x = 11,272.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.