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Finding the Fourth Proportional to 17,282.74, 25,923.94 and 7,920.10

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Solution

The fourth proportional to 17,282.74, 25,923.94 and 7,920.10 is: 11,880.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,282.74 : 25,923.94 = 7,920.10 : x
  2. Step 2: Convert to fraction form
    17,282.74/25,923.94 = 7,920.10/x
  3. Step 3: Cross multiply
    17,282.74x = 25,923.94 × 7,920.10
  4. Step 4: Simplify right side
    17,282.74x = 205,320,197.19
  5. Step 5: Solve for x
    x = 205,320,197.19/17,282.74
  6. Step 6: Final answer
    x = 11,880.07

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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.