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Finding the Fourth Proportional to 17,829.82, 24,605.40 and 9,872.38

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Solution

The fourth proportional to 17,829.82, 24,605.40 and 9,872.38 is: 13,624.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.82 : 24,605.40 = 9,872.38 : x
  2. Step 2: Convert to fraction form
    17,829.82/24,605.40 = 9,872.38/x
  3. Step 3: Cross multiply
    17,829.82x = 24,605.40 × 9,872.38
  4. Step 4: Simplify right side
    17,829.82x = 242,913,858.85
  5. Step 5: Solve for x
    x = 242,913,858.85/17,829.82
  6. Step 6: Final answer
    x = 13,624.02

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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.