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Finding the Fourth Proportional to 17,814.61, 24,584.55 and 9,857.37

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Solution

The fourth proportional to 17,814.61, 24,584.55 and 9,857.37 is: 13,603.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.61 : 24,584.55 = 9,857.37 : x
  2. Step 2: Convert to fraction form
    17,814.61/24,584.55 = 9,857.37/x
  3. Step 3: Cross multiply
    17,814.61x = 24,584.55 × 9,857.37
  4. Step 4: Simplify right side
    17,814.61x = 242,339,060.86
  5. Step 5: Solve for x
    x = 242,339,060.86/17,814.61
  6. Step 6: Final answer
    x = 13,603.39

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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.