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Finding the Fourth Proportional to 16,589.16, 22,890.36 and 9,874.56

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Solution

The fourth proportional to 16,589.16, 22,890.36 and 9,874.56 is: 13,625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,589.16 : 22,890.36 = 9,874.56 : x
  2. Step 2: Convert to fraction form
    16,589.16/22,890.36 = 9,874.56/x
  3. Step 3: Cross multiply
    16,589.16x = 22,890.36 × 9,874.56
  4. Step 4: Simplify right side
    16,589.16x = 226,032,233.24
  5. Step 5: Solve for x
    x = 226,032,233.24/16,589.16
  6. Step 6: Final answer
    x = 13,625.30

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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.