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Finding the Fourth Proportional to 17,242.75, 25,864.13 and 4,762.90

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Solution

The fourth proportional to 17,242.75, 25,864.13 and 4,762.90 is: 7,144.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242.75 : 25,864.13 = 4,762.90 : x
  2. Step 2: Convert to fraction form
    17,242.75/25,864.13 = 4,762.90/x
  3. Step 3: Cross multiply
    17,242.75x = 25,864.13 × 4,762.90
  4. Step 4: Simplify right side
    17,242.75x = 123,188,264.78
  5. Step 5: Solve for x
    x = 123,188,264.78/17,242.75
  6. Step 6: Final answer
    x = 7,144.35

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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.