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Finding the Fourth Proportional to 17,240, 25,861.50 and 4,760.04

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Solution

The fourth proportional to 17,240, 25,861.50 and 4,760.04 is: 7,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240 : 25,861.50 = 4,760.04 : x
  2. Step 2: Convert to fraction form
    17,240/25,861.50 = 4,760.04/x
  3. Step 3: Cross multiply
    17,240x = 25,861.50 × 4,760.04
  4. Step 4: Simplify right side
    17,240x = 123,101,774.46
  5. Step 5: Solve for x
    x = 123,101,774.46/17,240
  6. Step 6: Final answer
    x = 7,140.47

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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.