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Finding the Fourth Proportional to 16,738.92, 23,098.92 and 9,185.08

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Solution

The fourth proportional to 16,738.92, 23,098.92 and 9,185.08 is: 12,674.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.92 : 23,098.92 = 9,185.08 : x
  2. Step 2: Convert to fraction form
    16,738.92/23,098.92 = 9,185.08/x
  3. Step 3: Cross multiply
    16,738.92x = 23,098.92 × 9,185.08
  4. Step 4: Simplify right side
    16,738.92x = 212,165,428.11
  5. Step 5: Solve for x
    x = 212,165,428.11/16,738.92
  6. Step 6: Final answer
    x = 12,674.98

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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.