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Finding the Fourth Proportional to 20,473.86, 30,715.20 and 12,144.13

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Solution

The fourth proportional to 20,473.86, 30,715.20 and 12,144.13 is: 18,218.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.86 : 30,715.20 = 12,144.13 : x
  2. Step 2: Convert to fraction form
    20,473.86/30,715.20 = 12,144.13/x
  3. Step 3: Cross multiply
    20,473.86x = 30,715.20 × 12,144.13
  4. Step 4: Simplify right side
    20,473.86x = 373,009,304.99
  5. Step 5: Solve for x
    x = 373,009,304.99/20,473.86
  6. Step 6: Final answer
    x = 18,218.80

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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.