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Finding the Fourth Proportional to 17,732.73, 24,464.29 and 10,176.33

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Solution

The fourth proportional to 17,732.73, 24,464.29 and 10,176.33 is: 14,039.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.73 : 24,464.29 = 10,176.33 : x
  2. Step 2: Convert to fraction form
    17,732.73/24,464.29 = 10,176.33/x
  3. Step 3: Cross multiply
    17,732.73x = 24,464.29 × 10,176.33
  4. Step 4: Simplify right side
    17,732.73x = 248,956,688.26
  5. Step 5: Solve for x
    x = 248,956,688.26/17,732.73
  6. Step 6: Final answer
    x = 14,039.39

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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.