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Finding the Fourth Proportional to 14,212.49, 19,614.90 and 8,164.89

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Solution

The fourth proportional to 14,212.49, 19,614.90 and 8,164.89 is: 11,268.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.49 : 19,614.90 = 8,164.89 : x
  2. Step 2: Convert to fraction form
    14,212.49/19,614.90 = 8,164.89/x
  3. Step 3: Cross multiply
    14,212.49x = 19,614.90 × 8,164.89
  4. Step 4: Simplify right side
    14,212.49x = 160,153,500.86
  5. Step 5: Solve for x
    x = 160,153,500.86/14,212.49
  6. Step 6: Final answer
    x = 11,268.51

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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.