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Finding the Fourth Proportional to 12,172.25, 16,782.48 and 10,158.56

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Solution

The fourth proportional to 12,172.25, 16,782.48 and 10,158.56 is: 14,006.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172.25 : 16,782.48 = 10,158.56 : x
  2. Step 2: Convert to fraction form
    12,172.25/16,782.48 = 10,158.56/x
  3. Step 3: Cross multiply
    12,172.25x = 16,782.48 × 10,158.56
  4. Step 4: Simplify right side
    12,172.25x = 170,485,830.03
  5. Step 5: Solve for x
    x = 170,485,830.03/12,172.25
  6. Step 6: Final answer
    x = 14,006.11

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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.