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Finding the Fourth Proportional to 17,814.53, 24,584.78 and 9,856.62

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Solution

The fourth proportional to 17,814.53, 24,584.78 and 9,856.62 is: 13,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,814.53 : 24,584.78 = 9,856.62 : x
  2. Step 2: Convert to fraction form
    17,814.53/24,584.78 = 9,856.62/x
  3. Step 3: Cross multiply
    17,814.53x = 24,584.78 × 9,856.62
  4. Step 4: Simplify right side
    17,814.53x = 242,322,834.24
  5. Step 5: Solve for x
    x = 242,322,834.24/17,814.53
  6. Step 6: Final answer
    x = 13,602.54

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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.