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Finding the Fourth Proportional to 16,284.55, 22,469.04 and 9,914.47

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Solution

The fourth proportional to 16,284.55, 22,469.04 and 9,914.47 is: 13,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.55 : 22,469.04 = 9,914.47 : x
  2. Step 2: Convert to fraction form
    16,284.55/22,469.04 = 9,914.47/x
  3. Step 3: Cross multiply
    16,284.55x = 22,469.04 × 9,914.47
  4. Step 4: Simplify right side
    16,284.55x = 222,768,623.01
  5. Step 5: Solve for x
    x = 222,768,623.01/16,284.55
  6. Step 6: Final answer
    x = 13,679.75

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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.