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Finding the Fourth Proportional to 20,291.74, 30,437.26 and 7,814.48

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Solution

The fourth proportional to 20,291.74, 30,437.26 and 7,814.48 is: 11,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,291.74 : 30,437.26 = 7,814.48 : x
  2. Step 2: Convert to fraction form
    20,291.74/30,437.26 = 7,814.48/x
  3. Step 3: Cross multiply
    20,291.74x = 30,437.26 × 7,814.48
  4. Step 4: Simplify right side
    20,291.74x = 237,851,187.80
  5. Step 5: Solve for x
    x = 237,851,187.80/20,291.74
  6. Step 6: Final answer
    x = 11,721.58

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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.