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Finding the Fourth Proportional to 17,741, 24,482.58 and 10,289

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Solution

The fourth proportional to 17,741, 24,482.58 and 10,289 is: 14,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,741 : 24,482.58 = 10,289 : x
  2. Step 2: Convert to fraction form
    17,741/24,482.58 = 10,289/x
  3. Step 3: Cross multiply
    17,741x = 24,482.58 × 10,289
  4. Step 4: Simplify right side
    17,741x = 251,901,265.62
  5. Step 5: Solve for x
    x = 251,901,265.62/17,741
  6. Step 6: Final answer
    x = 14,198.82

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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.