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Finding the Fourth Proportional to 16,785.63, 23,164.73 and 9,232.28

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Solution

The fourth proportional to 16,785.63, 23,164.73 and 9,232.28 is: 12,740.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,785.63 : 23,164.73 = 9,232.28 : x
  2. Step 2: Convert to fraction form
    16,785.63/23,164.73 = 9,232.28/x
  3. Step 3: Cross multiply
    16,785.63x = 23,164.73 × 9,232.28
  4. Step 4: Simplify right side
    16,785.63x = 213,863,284.92
  5. Step 5: Solve for x
    x = 213,863,284.92/16,785.63
  6. Step 6: Final answer
    x = 12,740.86

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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.