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Finding the Fourth Proportional to 30,986.36, 46,497.76 and 12,268.20

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Solution

The fourth proportional to 30,986.36, 46,497.76 and 12,268.20 is: 18,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,986.36 : 46,497.76 = 12,268.20 : x
  2. Step 2: Convert to fraction form
    30,986.36/46,497.76 = 12,268.20/x
  3. Step 3: Cross multiply
    30,986.36x = 46,497.76 × 12,268.20
  4. Step 4: Simplify right side
    30,986.36x = 570,443,819.23
  5. Step 5: Solve for x
    x = 570,443,819.23/30,986.36
  6. Step 6: Final answer
    x = 18,409.51

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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.