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Finding the Fourth Proportional to 14,114.65, 21,168.60 and 8,178.70

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Solution

The fourth proportional to 14,114.65, 21,168.60 and 8,178.70 is: 12,266.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,114.65 : 21,168.60 = 8,178.70 : x
  2. Step 2: Convert to fraction form
    14,114.65/21,168.60 = 8,178.70/x
  3. Step 3: Cross multiply
    14,114.65x = 21,168.60 × 8,178.70
  4. Step 4: Simplify right side
    14,114.65x = 173,131,628.82
  5. Step 5: Solve for x
    x = 173,131,628.82/14,114.65
  6. Step 6: Final answer
    x = 12,266.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.