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Finding the Fourth Proportional to 17,035.96, 25,527.88 and 7,169.84

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Solution

The fourth proportional to 17,035.96, 25,527.88 and 7,169.84 is: 10,743.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,035.96 : 25,527.88 = 7,169.84 : x
  2. Step 2: Convert to fraction form
    17,035.96/25,527.88 = 7,169.84/x
  3. Step 3: Cross multiply
    17,035.96x = 25,527.88 × 7,169.84
  4. Step 4: Simplify right side
    17,035.96x = 183,030,815.14
  5. Step 5: Solve for x
    x = 183,030,815.14/17,035.96
  6. Step 6: Final answer
    x = 10,743.79

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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.