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Finding the Fourth Proportional to 16,405.83, 22,640.04 and 8,953.83

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Solution

The fourth proportional to 16,405.83, 22,640.04 and 8,953.83 is: 12,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.83 : 22,640.04 = 8,953.83 : x
  2. Step 2: Convert to fraction form
    16,405.83/22,640.04 = 8,953.83/x
  3. Step 3: Cross multiply
    16,405.83x = 22,640.04 × 8,953.83
  4. Step 4: Simplify right side
    16,405.83x = 202,715,102.93
  5. Step 5: Solve for x
    x = 202,715,102.93/16,405.83
  6. Step 6: Final answer
    x = 12,356.28

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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.