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Finding the Fourth Proportional to 16,615, 22,928.70 and 9,163

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Solution

The fourth proportional to 16,615, 22,928.70 and 9,163 is: 12,644.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615 : 22,928.70 = 9,163 : x
  2. Step 2: Convert to fraction form
    16,615/22,928.70 = 9,163/x
  3. Step 3: Cross multiply
    16,615x = 22,928.70 × 9,163
  4. Step 4: Simplify right side
    16,615x = 210,095,678.10
  5. Step 5: Solve for x
    x = 210,095,678.10/16,615
  6. Step 6: Final answer
    x = 12,644.94

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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.