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Finding the Fourth Proportional to 20,950.71, 31,430.49 and 6,158.40

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Solution

The fourth proportional to 20,950.71, 31,430.49 and 6,158.40 is: 9,238.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,950.71 : 31,430.49 = 6,158.40 : x
  2. Step 2: Convert to fraction form
    20,950.71/31,430.49 = 6,158.40/x
  3. Step 3: Cross multiply
    20,950.71x = 31,430.49 × 6,158.40
  4. Step 4: Simplify right side
    20,950.71x = 193,561,529.62
  5. Step 5: Solve for x
    x = 193,561,529.62/20,950.71
  6. Step 6: Final answer
    x = 9,238.90

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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.