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Finding the Fourth Proportional to 20,342.85, 30,514.29 and 13,328.70

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Solution

The fourth proportional to 20,342.85, 30,514.29 and 13,328.70 is: 19,993.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342.85 : 30,514.29 = 13,328.70 : x
  2. Step 2: Convert to fraction form
    20,342.85/30,514.29 = 13,328.70/x
  3. Step 3: Cross multiply
    20,342.85x = 30,514.29 × 13,328.70
  4. Step 4: Simplify right side
    20,342.85x = 406,715,817.12
  5. Step 5: Solve for x
    x = 406,715,817.12/20,342.85
  6. Step 6: Final answer
    x = 19,993.06

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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.