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Finding the Fourth Proportional to 17,240, 25,865.04 and 6,147.59

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Solution

The fourth proportional to 17,240, 25,865.04 and 6,147.59 is: 9,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,240 : 25,865.04 = 6,147.59 : x
  2. Step 2: Convert to fraction form
    17,240/25,865.04 = 6,147.59/x
  3. Step 3: Cross multiply
    17,240x = 25,865.04 × 6,147.59
  4. Step 4: Simplify right side
    17,240x = 159,007,661.25
  5. Step 5: Solve for x
    x = 159,007,661.25/17,240
  6. Step 6: Final answer
    x = 9,223.18

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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.