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Finding the Fourth Proportional to 24,564.14, 36,811 and 14,012.33

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Solution

The fourth proportional to 24,564.14, 36,811 and 14,012.33 is: 20,998.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,564.14 : 36,811 = 14,012.33 : x
  2. Step 2: Convert to fraction form
    24,564.14/36,811 = 14,012.33/x
  3. Step 3: Cross multiply
    24,564.14x = 36,811 × 14,012.33
  4. Step 4: Simplify right side
    24,564.14x = 515,807,879.63
  5. Step 5: Solve for x
    x = 515,807,879.63/24,564.14
  6. Step 6: Final answer
    x = 20,998.41

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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.