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Finding the Fourth Proportional to 17,153.39, 23,672.55 and 10,082.09

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Solution

The fourth proportional to 17,153.39, 23,672.55 and 10,082.09 is: 13,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,153.39 : 23,672.55 = 10,082.09 : x
  2. Step 2: Convert to fraction form
    17,153.39/23,672.55 = 10,082.09/x
  3. Step 3: Cross multiply
    17,153.39x = 23,672.55 × 10,082.09
  4. Step 4: Simplify right side
    17,153.39x = 238,668,779.63
  5. Step 5: Solve for x
    x = 238,668,779.63/17,153.39
  6. Step 6: Final answer
    x = 13,913.80

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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.