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Finding the Fourth Proportional to 16,865.63, 25,296.06 and 9,269.28

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Solution

The fourth proportional to 16,865.63, 25,296.06 and 9,269.28 is: 13,902.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,865.63 : 25,296.06 = 9,269.28 : x
  2. Step 2: Convert to fraction form
    16,865.63/25,296.06 = 9,269.28/x
  3. Step 3: Cross multiply
    16,865.63x = 25,296.06 × 9,269.28
  4. Step 4: Simplify right side
    16,865.63x = 234,476,263.04
  5. Step 5: Solve for x
    x = 234,476,263.04/16,865.63
  6. Step 6: Final answer
    x = 13,902.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.