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Finding the Fourth Proportional to 17,002.10, 25,505.09 and 4,522.64

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Solution

The fourth proportional to 17,002.10, 25,505.09 and 4,522.64 is: 6,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,002.10 : 25,505.09 = 4,522.64 : x
  2. Step 2: Convert to fraction form
    17,002.10/25,505.09 = 4,522.64/x
  3. Step 3: Cross multiply
    17,002.10x = 25,505.09 × 4,522.64
  4. Step 4: Simplify right side
    17,002.10x = 115,350,232.50
  5. Step 5: Solve for x
    x = 115,350,232.50/17,002.10
  6. Step 6: Final answer
    x = 6,784.47

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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.