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Finding the Fourth Proportional to 17,087.38, 23,582.41 and 9,536.34

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Solution

The fourth proportional to 17,087.38, 23,582.41 and 9,536.34 is: 13,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,087.38 : 23,582.41 = 9,536.34 : x
  2. Step 2: Convert to fraction form
    17,087.38/23,582.41 = 9,536.34/x
  3. Step 3: Cross multiply
    17,087.38x = 23,582.41 × 9,536.34
  4. Step 4: Simplify right side
    17,087.38x = 224,889,832.74
  5. Step 5: Solve for x
    x = 224,889,832.74/17,087.38
  6. Step 6: Final answer
    x = 13,161.16

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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.