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Finding the Fourth Proportional to 20,047.80, 30,074.76 and 14,542.74

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Solution

The fourth proportional to 20,047.80, 30,074.76 and 14,542.74 is: 21,816.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.80 : 30,074.76 = 14,542.74 : x
  2. Step 2: Convert to fraction form
    20,047.80/30,074.76 = 14,542.74/x
  3. Step 3: Cross multiply
    20,047.80x = 30,074.76 × 14,542.74
  4. Step 4: Simplify right side
    20,047.80x = 437,369,415.24
  5. Step 5: Solve for x
    x = 437,369,415.24/20,047.80
  6. Step 6: Final answer
    x = 21,816.33

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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.