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Finding the Fourth Proportional to 20,819, 31,233.90 and 7,491.53

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Solution

The fourth proportional to 20,819, 31,233.90 and 7,491.53 is: 11,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,819 : 31,233.90 = 7,491.53 : x
  2. Step 2: Convert to fraction form
    20,819/31,233.90 = 7,491.53/x
  3. Step 3: Cross multiply
    20,819x = 31,233.90 × 7,491.53
  4. Step 4: Simplify right side
    20,819x = 233,989,698.87
  5. Step 5: Solve for x
    x = 233,989,698.87/20,819
  6. Step 6: Final answer
    x = 11,239.24

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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.