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Finding the Fourth Proportional to 21,000.12, 31,500.12 and 5,416.50

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Solution

The fourth proportional to 21,000.12, 31,500.12 and 5,416.50 is: 8,124.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,000.12 : 31,500.12 = 5,416.50 : x
  2. Step 2: Convert to fraction form
    21,000.12/31,500.12 = 5,416.50/x
  3. Step 3: Cross multiply
    21,000.12x = 31,500.12 × 5,416.50
  4. Step 4: Simplify right side
    21,000.12x = 170,620,399.98
  5. Step 5: Solve for x
    x = 170,620,399.98/21,000.12
  6. Step 6: Final answer
    x = 8,124.73

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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.