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Finding the Fourth Proportional to 17,814.60, 24,584.54 and 9,857.39

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Solution

The fourth proportional to 17,814.60, 24,584.54 and 9,857.39 is: 13,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.60 : 24,584.54 = 9,857.39 : x
  2. Step 2: Convert to fraction form
    17,814.60/24,584.54 = 9,857.39/x
  3. Step 3: Cross multiply
    17,814.60x = 24,584.54 × 9,857.39
  4. Step 4: Simplify right side
    17,814.60x = 242,339,226.54
  5. Step 5: Solve for x
    x = 242,339,226.54/17,814.60
  6. Step 6: Final answer
    x = 13,603.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.