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Finding the Fourth Proportional to 17,055, 25,582.50 and 4,743

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Solution

The fourth proportional to 17,055, 25,582.50 and 4,743 is: 7,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,055 : 25,582.50 = 4,743 : x
  2. Step 2: Convert to fraction form
    17,055/25,582.50 = 4,743/x
  3. Step 3: Cross multiply
    17,055x = 25,582.50 × 4,743
  4. Step 4: Simplify right side
    17,055x = 121,337,797.50
  5. Step 5: Solve for x
    x = 121,337,797.50/17,055
  6. Step 6: Final answer
    x = 7,114.50

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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.