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Finding the Fourth Proportional to 16,433.85, 22,689.11 and 12,649.91

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Solution

The fourth proportional to 16,433.85, 22,689.11 and 12,649.91 is: 17,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433.85 : 22,689.11 = 12,649.91 : x
  2. Step 2: Convert to fraction form
    16,433.85/22,689.11 = 12,649.91/x
  3. Step 3: Cross multiply
    16,433.85x = 22,689.11 × 12,649.91
  4. Step 4: Simplify right side
    16,433.85x = 287,015,117.66
  5. Step 5: Solve for x
    x = 287,015,117.66/16,433.85
  6. Step 6: Final answer
    x = 17,464.87

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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.