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Finding the Fourth Proportional to 16,470.83, 22,729.92 and 8,917.32

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Solution

The fourth proportional to 16,470.83, 22,729.92 and 8,917.32 is: 12,305.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.83 : 22,729.92 = 8,917.32 : x
  2. Step 2: Convert to fraction form
    16,470.83/22,729.92 = 8,917.32/x
  3. Step 3: Cross multiply
    16,470.83x = 22,729.92 × 8,917.32
  4. Step 4: Simplify right side
    16,470.83x = 202,689,855.31
  5. Step 5: Solve for x
    x = 202,689,855.31/16,470.83
  6. Step 6: Final answer
    x = 12,305.99

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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.