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Finding the Fourth Proportional to 17,300, 25,968.48 and 7,444.16

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Solution

The fourth proportional to 17,300, 25,968.48 and 7,444.16 is: 11,174.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,300 : 25,968.48 = 7,444.16 : x
  2. Step 2: Convert to fraction form
    17,300/25,968.48 = 7,444.16/x
  3. Step 3: Cross multiply
    17,300x = 25,968.48 × 7,444.16
  4. Step 4: Simplify right side
    17,300x = 193,313,520.08
  5. Step 5: Solve for x
    x = 193,313,520.08/17,300
  6. Step 6: Final answer
    x = 11,174.19

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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.