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Finding the Fourth Proportional to 17,871.72, 24,654.42 and 10,696.74

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Solution

The fourth proportional to 17,871.72, 24,654.42 and 10,696.74 is: 14,756.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,871.72 : 24,654.42 = 10,696.74 : x
  2. Step 2: Convert to fraction form
    17,871.72/24,654.42 = 10,696.74/x
  3. Step 3: Cross multiply
    17,871.72x = 24,654.42 × 10,696.74
  4. Step 4: Simplify right side
    17,871.72x = 263,721,920.59
  5. Step 5: Solve for x
    x = 263,721,920.59/17,871.72
  6. Step 6: Final answer
    x = 14,756.38

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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.