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Finding the Fourth Proportional to 17,137, 25,707.54 and 6,041.38

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Solution

The fourth proportional to 17,137, 25,707.54 and 6,041.38 is: 9,062.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,137 : 25,707.54 = 6,041.38 : x
  2. Step 2: Convert to fraction form
    17,137/25,707.54 = 6,041.38/x
  3. Step 3: Cross multiply
    17,137x = 25,707.54 × 6,041.38
  4. Step 4: Simplify right side
    17,137x = 155,309,018.01
  5. Step 5: Solve for x
    x = 155,309,018.01/17,137
  6. Step 6: Final answer
    x = 9,062.79

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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.