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Finding the Fourth Proportional to 17,675.69, 24,411.47 and 10,977.23

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Solution

The fourth proportional to 17,675.69, 24,411.47 and 10,977.23 is: 15,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,675.69 : 24,411.47 = 10,977.23 : x
  2. Step 2: Convert to fraction form
    17,675.69/24,411.47 = 10,977.23/x
  3. Step 3: Cross multiply
    17,675.69x = 24,411.47 × 10,977.23
  4. Step 4: Simplify right side
    17,675.69x = 267,970,143.88
  5. Step 5: Solve for x
    x = 267,970,143.88/17,675.69
  6. Step 6: Final answer
    x = 15,160.38

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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.