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Finding the Fourth Proportional to 17,002.42, 25,507.74 and 5,907.50

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Solution

The fourth proportional to 17,002.42, 25,507.74 and 5,907.50 is: 8,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.42 : 25,507.74 = 5,907.50 : x
  2. Step 2: Convert to fraction form
    17,002.42/25,507.74 = 5,907.50/x
  3. Step 3: Cross multiply
    17,002.42x = 25,507.74 × 5,907.50
  4. Step 4: Simplify right side
    17,002.42x = 150,686,974.05
  5. Step 5: Solve for x
    x = 150,686,974.05/17,002.42
  6. Step 6: Final answer
    x = 8,862.68

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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.