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Finding the Fourth Proportional to 17,145.14, 25,719.78 and 6,049.55

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Solution

The fourth proportional to 17,145.14, 25,719.78 and 6,049.55 is: 9,075.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,145.14 : 25,719.78 = 6,049.55 : x
  2. Step 2: Convert to fraction form
    17,145.14/25,719.78 = 6,049.55/x
  3. Step 3: Cross multiply
    17,145.14x = 25,719.78 × 6,049.55
  4. Step 4: Simplify right side
    17,145.14x = 155,593,095.10
  5. Step 5: Solve for x
    x = 155,593,095.10/17,145.14
  6. Step 6: Final answer
    x = 9,075.06

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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.