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Finding the Fourth Proportional to 20,950.14, 31,430.61 and 6,159.54

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Solution

The fourth proportional to 20,950.14, 31,430.61 and 6,159.54 is: 9,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.14 : 31,430.61 = 6,159.54 : x
  2. Step 2: Convert to fraction form
    20,950.14/31,430.61 = 6,159.54/x
  3. Step 3: Cross multiply
    20,950.14x = 31,430.61 × 6,159.54
  4. Step 4: Simplify right side
    20,950.14x = 193,598,099.52
  5. Step 5: Solve for x
    x = 193,598,099.52/20,950.14
  6. Step 6: Final answer
    x = 9,240.90

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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.