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Finding the Fourth Proportional to 20,699.12, 31,020.94 and 11,325

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Solution

The fourth proportional to 20,699.12, 31,020.94 and 11,325 is: 16,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,699.12 : 31,020.94 = 11,325 : x
  2. Step 2: Convert to fraction form
    20,699.12/31,020.94 = 11,325/x
  3. Step 3: Cross multiply
    20,699.12x = 31,020.94 × 11,325
  4. Step 4: Simplify right side
    20,699.12x = 351,312,145.50
  5. Step 5: Solve for x
    x = 351,312,145.50/20,699.12
  6. Step 6: Final answer
    x = 16,972.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.