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Finding the Fourth Proportional to 20,302.72, 30,457.68 and 7,162.72

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Solution

The fourth proportional to 20,302.72, 30,457.68 and 7,162.72 is: 10,745.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302.72 : 30,457.68 = 7,162.72 : x
  2. Step 2: Convert to fraction form
    20,302.72/30,457.68 = 7,162.72/x
  3. Step 3: Cross multiply
    20,302.72x = 30,457.68 × 7,162.72
  4. Step 4: Simplify right side
    20,302.72x = 218,159,833.69
  5. Step 5: Solve for x
    x = 218,159,833.69/20,302.72
  6. Step 6: Final answer
    x = 10,745.35

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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.