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Finding the Fourth Proportional to 17,320.77, 25,975.69 and 7,457.40

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Solution

The fourth proportional to 17,320.77, 25,975.69 and 7,457.40 is: 11,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.77 : 25,975.69 = 7,457.40 : x
  2. Step 2: Convert to fraction form
    17,320.77/25,975.69 = 7,457.40/x
  3. Step 3: Cross multiply
    17,320.77x = 25,975.69 × 7,457.40
  4. Step 4: Simplify right side
    17,320.77x = 193,711,091.96
  5. Step 5: Solve for x
    x = 193,711,091.96/17,320.77
  6. Step 6: Final answer
    x = 11,183.75

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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.