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Finding the Fourth Proportional to 20,446.42, 30,676.11 and 7,298.50

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Solution

The fourth proportional to 20,446.42, 30,676.11 and 7,298.50 is: 10,950.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.42 : 30,676.11 = 7,298.50 : x
  2. Step 2: Convert to fraction form
    20,446.42/30,676.11 = 7,298.50/x
  3. Step 3: Cross multiply
    20,446.42x = 30,676.11 × 7,298.50
  4. Step 4: Simplify right side
    20,446.42x = 223,889,588.84
  5. Step 5: Solve for x
    x = 223,889,588.84/20,446.42
  6. Step 6: Final answer
    x = 10,950.06

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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.