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Finding the Fourth Proportional to 16,411.55, 22,647.41 and 9,241.83

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Solution

The fourth proportional to 16,411.55, 22,647.41 and 9,241.83 is: 12,753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,411.55 : 22,647.41 = 9,241.83 : x
  2. Step 2: Convert to fraction form
    16,411.55/22,647.41 = 9,241.83/x
  3. Step 3: Cross multiply
    16,411.55x = 22,647.41 × 9,241.83
  4. Step 4: Simplify right side
    16,411.55x = 209,303,466.95
  5. Step 5: Solve for x
    x = 209,303,466.95/16,411.55
  6. Step 6: Final answer
    x = 12,753.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.