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Finding the Fourth Proportional to 20,953.22, 31,423.12 and 6,910.10

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Solution

The fourth proportional to 20,953.22, 31,423.12 and 6,910.10 is: 10,362.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,953.22 : 31,423.12 = 6,910.10 : x
  2. Step 2: Convert to fraction form
    20,953.22/31,423.12 = 6,910.10/x
  3. Step 3: Cross multiply
    20,953.22x = 31,423.12 × 6,910.10
  4. Step 4: Simplify right side
    20,953.22x = 217,136,709.85
  5. Step 5: Solve for x
    x = 217,136,709.85/20,953.22
  6. Step 6: Final answer
    x = 10,362.93

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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.