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Finding the Fourth Proportional to 16,383.86, 22,613.36 and 10,414.36

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Solution

The fourth proportional to 16,383.86, 22,613.36 and 10,414.36 is: 14,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,383.86 : 22,613.36 = 10,414.36 : x
  2. Step 2: Convert to fraction form
    16,383.86/22,613.36 = 10,414.36/x
  3. Step 3: Cross multiply
    16,383.86x = 22,613.36 × 10,414.36
  4. Step 4: Simplify right side
    16,383.86x = 235,503,671.85
  5. Step 5: Solve for x
    x = 235,503,671.85/16,383.86
  6. Step 6: Final answer
    x = 14,374.13

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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.