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Finding the Fourth Proportional to 17,818.82, 24,589.60 and 9,860.57

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Solution

The fourth proportional to 17,818.82, 24,589.60 and 9,860.57 is: 13,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,818.82 : 24,589.60 = 9,860.57 : x
  2. Step 2: Convert to fraction form
    17,818.82/24,589.60 = 9,860.57/x
  3. Step 3: Cross multiply
    17,818.82x = 24,589.60 × 9,860.57
  4. Step 4: Simplify right side
    17,818.82x = 242,467,472.07
  5. Step 5: Solve for x
    x = 242,467,472.07/17,818.82
  6. Step 6: Final answer
    x = 13,607.38

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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.