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Finding the Fourth Proportional to 17,188.50, 25,782.78 and 4,708.64

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Solution

The fourth proportional to 17,188.50, 25,782.78 and 4,708.64 is: 7,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.50 : 25,782.78 = 4,708.64 : x
  2. Step 2: Convert to fraction form
    17,188.50/25,782.78 = 4,708.64/x
  3. Step 3: Cross multiply
    17,188.50x = 25,782.78 × 4,708.64
  4. Step 4: Simplify right side
    17,188.50x = 121,401,752.99
  5. Step 5: Solve for x
    x = 121,401,752.99/17,188.50
  6. Step 6: Final answer
    x = 7,062.96

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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.