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Finding the Fourth Proportional to 17,129.94, 25,698.50 and 7,269

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Solution

The fourth proportional to 17,129.94, 25,698.50 and 7,269 is: 10,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,129.94 : 25,698.50 = 7,269 : x
  2. Step 2: Convert to fraction form
    17,129.94/25,698.50 = 7,269/x
  3. Step 3: Cross multiply
    17,129.94x = 25,698.50 × 7,269
  4. Step 4: Simplify right side
    17,129.94x = 186,802,396.50
  5. Step 5: Solve for x
    x = 186,802,396.50/17,129.94
  6. Step 6: Final answer
    x = 10,905.02

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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.