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Finding the Fourth Proportional to 14,214.56, 19,616.04 and 8,249.72

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Solution

The fourth proportional to 14,214.56, 19,616.04 and 8,249.72 is: 11,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.56 : 19,616.04 = 8,249.72 : x
  2. Step 2: Convert to fraction form
    14,214.56/19,616.04 = 8,249.72/x
  3. Step 3: Cross multiply
    14,214.56x = 19,616.04 × 8,249.72
  4. Step 4: Simplify right side
    14,214.56x = 161,826,739.43
  5. Step 5: Solve for x
    x = 161,826,739.43/14,214.56
  6. Step 6: Final answer
    x = 11,384.58

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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.