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Finding the Fourth Proportional to 16,815.75, 23,205.74 and 9,746.27

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Solution

The fourth proportional to 16,815.75, 23,205.74 and 9,746.27 is: 13,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815.75 : 23,205.74 = 9,746.27 : x
  2. Step 2: Convert to fraction form
    16,815.75/23,205.74 = 9,746.27/x
  3. Step 3: Cross multiply
    16,815.75x = 23,205.74 × 9,746.27
  4. Step 4: Simplify right side
    16,815.75x = 226,169,416.87
  5. Step 5: Solve for x
    x = 226,169,416.87/16,815.75
  6. Step 6: Final answer
    x = 13,449.86

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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.