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Finding the Fourth Proportional to 17,322.89, 25,989.19 and 7,965.77

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Solution

The fourth proportional to 17,322.89, 25,989.19 and 7,965.77 is: 11,950.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,322.89 : 25,989.19 = 7,965.77 : x
  2. Step 2: Convert to fraction form
    17,322.89/25,989.19 = 7,965.77/x
  3. Step 3: Cross multiply
    17,322.89x = 25,989.19 × 7,965.77
  4. Step 4: Simplify right side
    17,322.89x = 207,023,760.17
  5. Step 5: Solve for x
    x = 207,023,760.17/17,322.89
  6. Step 6: Final answer
    x = 11,950.88

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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.