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Finding the Fourth Proportional to 17,764, 24,516.75 and 10,312

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Solution

The fourth proportional to 17,764, 24,516.75 and 10,312 is: 14,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,764 : 24,516.75 = 10,312 : x
  2. Step 2: Convert to fraction form
    17,764/24,516.75 = 10,312/x
  3. Step 3: Cross multiply
    17,764x = 24,516.75 × 10,312
  4. Step 4: Simplify right side
    17,764x = 252,816,726
  5. Step 5: Solve for x
    x = 252,816,726/17,764
  6. Step 6: Final answer
    x = 14,231.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.