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Finding the Fourth Proportional to 16,634, 22,954.92 and 9,182

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Solution

The fourth proportional to 16,634, 22,954.92 and 9,182 is: 12,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,634 : 22,954.92 = 9,182 : x
  2. Step 2: Convert to fraction form
    16,634/22,954.92 = 9,182/x
  3. Step 3: Cross multiply
    16,634x = 22,954.92 × 9,182
  4. Step 4: Simplify right side
    16,634x = 210,772,075.44
  5. Step 5: Solve for x
    x = 210,772,075.44/16,634
  6. Step 6: Final answer
    x = 12,671.16

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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.