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Finding the Fourth Proportional to 20,332.83, 30,443.87 and 15,814.20

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Solution

The fourth proportional to 20,332.83, 30,443.87 and 15,814.20 is: 23,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,332.83 : 30,443.87 = 15,814.20 : x
  2. Step 2: Convert to fraction form
    20,332.83/30,443.87 = 15,814.20/x
  3. Step 3: Cross multiply
    20,332.83x = 30,443.87 × 15,814.20
  4. Step 4: Simplify right side
    20,332.83x = 481,445,369.88
  5. Step 5: Solve for x
    x = 481,445,369.88/20,332.83
  6. Step 6: Final answer
    x = 23,678.23

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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.