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Finding the Fourth Proportional to 20,185.04, 30,288.72 and 8,498

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Solution

The fourth proportional to 20,185.04, 30,288.72 and 8,498 is: 12,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,185.04 : 30,288.72 = 8,498 : x
  2. Step 2: Convert to fraction form
    20,185.04/30,288.72 = 8,498/x
  3. Step 3: Cross multiply
    20,185.04x = 30,288.72 × 8,498
  4. Step 4: Simplify right side
    20,185.04x = 257,393,542.56
  5. Step 5: Solve for x
    x = 257,393,542.56/20,185.04
  6. Step 6: Final answer
    x = 12,751.70

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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.