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Finding the Fourth Proportional to 16,493.14, 22,758.06 and 9,418.06

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Solution

The fourth proportional to 16,493.14, 22,758.06 and 9,418.06 is: 12,995.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,493.14 : 22,758.06 = 9,418.06 : x
  2. Step 2: Convert to fraction form
    16,493.14/22,758.06 = 9,418.06/x
  3. Step 3: Cross multiply
    16,493.14x = 22,758.06 × 9,418.06
  4. Step 4: Simplify right side
    16,493.14x = 214,336,774.56
  5. Step 5: Solve for x
    x = 214,336,774.56/16,493.14
  6. Step 6: Final answer
    x = 12,995.51

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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.