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Finding the Fourth Proportional to 16,284.26, 22,447.77 and 12,741.32

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Solution

The fourth proportional to 16,284.26, 22,447.77 and 12,741.32 is: 17,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,284.26 : 22,447.77 = 12,741.32 : x
  2. Step 2: Convert to fraction form
    16,284.26/22,447.77 = 12,741.32/x
  3. Step 3: Cross multiply
    16,284.26x = 22,447.77 × 12,741.32
  4. Step 4: Simplify right side
    16,284.26x = 286,014,108.62
  5. Step 5: Solve for x
    x = 286,014,108.62/16,284.26
  6. Step 6: Final answer
    x = 17,563.84

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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.