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Finding the Fourth Proportional to 17,429, 26,147.84 and 5,117

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Solution

The fourth proportional to 17,429, 26,147.84 and 5,117 is: 7,676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429 : 26,147.84 = 5,117 : x
  2. Step 2: Convert to fraction form
    17,429/26,147.84 = 5,117/x
  3. Step 3: Cross multiply
    17,429x = 26,147.84 × 5,117
  4. Step 4: Simplify right side
    17,429x = 133,798,497.28
  5. Step 5: Solve for x
    x = 133,798,497.28/17,429
  6. Step 6: Final answer
    x = 7,676.77

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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.