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Finding the Fourth Proportional to 17,146, 23,645.24 and 11,182.24

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Solution

The fourth proportional to 17,146, 23,645.24 and 11,182.24 is: 15,420.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,146 : 23,645.24 = 11,182.24 : x
  2. Step 2: Convert to fraction form
    17,146/23,645.24 = 11,182.24/x
  3. Step 3: Cross multiply
    17,146x = 23,645.24 × 11,182.24
  4. Step 4: Simplify right side
    17,146x = 264,406,748.54
  5. Step 5: Solve for x
    x = 264,406,748.54/17,146
  6. Step 6: Final answer
    x = 15,420.90

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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.