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Finding the Fourth Proportional to 16,407.43, 22,630.16 and 12,374.42

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Solution

The fourth proportional to 16,407.43, 22,630.16 and 12,374.42 is: 17,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,407.43 : 22,630.16 = 12,374.42 : x
  2. Step 2: Convert to fraction form
    16,407.43/22,630.16 = 12,374.42/x
  3. Step 3: Cross multiply
    16,407.43x = 22,630.16 × 12,374.42
  4. Step 4: Simplify right side
    16,407.43x = 280,035,022.29
  5. Step 5: Solve for x
    x = 280,035,022.29/16,407.43
  6. Step 6: Final answer
    x = 17,067.58

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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.