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Finding the Fourth Proportional to 16,738.90, 23,099.92 and 9,185.10

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Solution

The fourth proportional to 16,738.90, 23,099.92 and 9,185.10 is: 12,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,738.90 : 23,099.92 = 9,185.10 : x
  2. Step 2: Convert to fraction form
    16,738.90/23,099.92 = 9,185.10/x
  3. Step 3: Cross multiply
    16,738.90x = 23,099.92 × 9,185.10
  4. Step 4: Simplify right side
    16,738.90x = 212,175,075.19
  5. Step 5: Solve for x
    x = 212,175,075.19/16,738.90
  6. Step 6: Final answer
    x = 12,675.57

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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.