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Finding the Fourth Proportional to 16,406.94, 22,638.90 and 9,691.63

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Solution

The fourth proportional to 16,406.94, 22,638.90 and 9,691.63 is: 13,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,406.94 : 22,638.90 = 9,691.63 : x
  2. Step 2: Convert to fraction form
    16,406.94/22,638.90 = 9,691.63/x
  3. Step 3: Cross multiply
    16,406.94x = 22,638.90 × 9,691.63
  4. Step 4: Simplify right side
    16,406.94x = 219,407,842.41
  5. Step 5: Solve for x
    x = 219,407,842.41/16,406.94
  6. Step 6: Final answer
    x = 13,372.87

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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.