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Finding the Fourth Proportional to 23,986.20, 35,976 and 6,457.08

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Solution

The fourth proportional to 23,986.20, 35,976 and 6,457.08 is: 9,684.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,986.20 : 35,976 = 6,457.08 : x
  2. Step 2: Convert to fraction form
    23,986.20/35,976 = 6,457.08/x
  3. Step 3: Cross multiply
    23,986.20x = 35,976 × 6,457.08
  4. Step 4: Simplify right side
    23,986.20x = 232,299,910.08
  5. Step 5: Solve for x
    x = 232,299,910.08/23,986.20
  6. Step 6: Final answer
    x = 9,684.73

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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.