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Finding the Fourth Proportional to 17,651.80, 26,459.24 and 12,964.84

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Solution

The fourth proportional to 17,651.80, 26,459.24 and 12,964.84 is: 19,433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,651.80 : 26,459.24 = 12,964.84 : x
  2. Step 2: Convert to fraction form
    17,651.80/26,459.24 = 12,964.84/x
  3. Step 3: Cross multiply
    17,651.80x = 26,459.24 × 12,964.84
  4. Step 4: Simplify right side
    17,651.80x = 343,039,813.12
  5. Step 5: Solve for x
    x = 343,039,813.12/17,651.80
  6. Step 6: Final answer
    x = 19,433.70

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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.