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Finding the Fourth Proportional to 17,016, 23,482.08 and 9,564

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Solution

The fourth proportional to 17,016, 23,482.08 and 9,564 is: 13,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,016 : 23,482.08 = 9,564 : x
  2. Step 2: Convert to fraction form
    17,016/23,482.08 = 9,564/x
  3. Step 3: Cross multiply
    17,016x = 23,482.08 × 9,564
  4. Step 4: Simplify right side
    17,016x = 224,582,613.12
  5. Step 5: Solve for x
    x = 224,582,613.12/17,016
  6. Step 6: Final answer
    x = 13,198.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.