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Finding the Fourth Proportional to 17,284.68, 23,853.32 and 9,731.29

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Solution

The fourth proportional to 17,284.68, 23,853.32 and 9,731.29 is: 13,429.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,284.68 : 23,853.32 = 9,731.29 : x
  2. Step 2: Convert to fraction form
    17,284.68/23,853.32 = 9,731.29/x
  3. Step 3: Cross multiply
    17,284.68x = 23,853.32 × 9,731.29
  4. Step 4: Simplify right side
    17,284.68x = 232,123,574.38
  5. Step 5: Solve for x
    x = 232,123,574.38/17,284.68
  6. Step 6: Final answer
    x = 13,429.44

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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.