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Finding the Fourth Proportional to 16,476.60, 22,741.42 and 12,884.44

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Solution

The fourth proportional to 16,476.60, 22,741.42 and 12,884.44 is: 17,783.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.60 : 22,741.42 = 12,884.44 : x
  2. Step 2: Convert to fraction form
    16,476.60/22,741.42 = 12,884.44/x
  3. Step 3: Cross multiply
    16,476.60x = 22,741.42 × 12,884.44
  4. Step 4: Simplify right side
    16,476.60x = 293,010,461.50
  5. Step 5: Solve for x
    x = 293,010,461.50/16,476.60
  6. Step 6: Final answer
    x = 17,783.43

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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.