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Finding the Fourth Proportional to 21,000.20, 31,484.63 and 9,900.56

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Solution

The fourth proportional to 21,000.20, 31,484.63 and 9,900.56 is: 14,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.20 : 31,484.63 = 9,900.56 : x
  2. Step 2: Convert to fraction form
    21,000.20/31,484.63 = 9,900.56/x
  3. Step 3: Cross multiply
    21,000.20x = 31,484.63 × 9,900.56
  4. Step 4: Simplify right side
    21,000.20x = 311,715,571.86
  5. Step 5: Solve for x
    x = 311,715,571.86/21,000.20
  6. Step 6: Final answer
    x = 14,843.46

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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.