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Finding the Fourth Proportional to 12,254.79, 18,385.43 and 6,409.83

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Solution

The fourth proportional to 12,254.79, 18,385.43 and 6,409.83 is: 9,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.79 : 18,385.43 = 6,409.83 : x
  2. Step 2: Convert to fraction form
    12,254.79/18,385.43 = 6,409.83/x
  3. Step 3: Cross multiply
    12,254.79x = 18,385.43 × 6,409.83
  4. Step 4: Simplify right side
    12,254.79x = 117,847,448.73
  5. Step 5: Solve for x
    x = 117,847,448.73/12,254.79
  6. Step 6: Final answer
    x = 9,616.44

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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.