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Finding the Fourth Proportional to 16,208.83, 24,304.92 and 7,436.17

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Solution

The fourth proportional to 16,208.83, 24,304.92 and 7,436.17 is: 11,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.83 : 24,304.92 = 7,436.17 : x
  2. Step 2: Convert to fraction form
    16,208.83/24,304.92 = 7,436.17/x
  3. Step 3: Cross multiply
    16,208.83x = 24,304.92 × 7,436.17
  4. Step 4: Simplify right side
    16,208.83x = 180,735,516.96
  5. Step 5: Solve for x
    x = 180,735,516.96/16,208.83
  6. Step 6: Final answer
    x = 11,150.44

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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.