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Finding the Fourth Proportional to 20,333.98, 30,498.81 and 9,800.74

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Solution

The fourth proportional to 20,333.98, 30,498.81 and 9,800.74 is: 14,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,333.98 : 30,498.81 = 9,800.74 : x
  2. Step 2: Convert to fraction form
    20,333.98/30,498.81 = 9,800.74/x
  3. Step 3: Cross multiply
    20,333.98x = 30,498.81 × 9,800.74
  4. Step 4: Simplify right side
    20,333.98x = 298,910,907.12
  5. Step 5: Solve for x
    x = 298,910,907.12/20,333.98
  6. Step 6: Final answer
    x = 14,700.07

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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.