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Finding the Fourth Proportional to 17,242, 25,864.50 and 4,762.04

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Solution

The fourth proportional to 17,242, 25,864.50 and 4,762.04 is: 7,143.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,242 : 25,864.50 = 4,762.04 : x
  2. Step 2: Convert to fraction form
    17,242/25,864.50 = 4,762.04/x
  3. Step 3: Cross multiply
    17,242x = 25,864.50 × 4,762.04
  4. Step 4: Simplify right side
    17,242x = 123,167,783.58
  5. Step 5: Solve for x
    x = 123,167,783.58/17,242
  6. Step 6: Final answer
    x = 7,143.47

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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.