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Finding the Fourth Proportional to 20,632.74, 30,907.49 and 9,524.00

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Solution

The fourth proportional to 20,632.74, 30,907.49 and 9,524.00 is: 14,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,632.74 : 30,907.49 = 9,524.00 : x
  2. Step 2: Convert to fraction form
    20,632.74/30,907.49 = 9,524.00/x
  3. Step 3: Cross multiply
    20,632.74x = 30,907.49 × 9,524.00
  4. Step 4: Simplify right side
    20,632.74x = 294,362,732.60
  5. Step 5: Solve for x
    x = 294,362,732.60/20,632.74
  6. Step 6: Final answer
    x = 14,266.78

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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.