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Finding the Fourth Proportional to 17,425, 26,141.84 and 5,113

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Solution

The fourth proportional to 17,425, 26,141.84 and 5,113 is: 7,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,425 : 26,141.84 = 5,113 : x
  2. Step 2: Convert to fraction form
    17,425/26,141.84 = 5,113/x
  3. Step 3: Cross multiply
    17,425x = 26,141.84 × 5,113
  4. Step 4: Simplify right side
    17,425x = 133,663,227.92
  5. Step 5: Solve for x
    x = 133,663,227.92/17,425
  6. Step 6: Final answer
    x = 7,670.77

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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.