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Finding the Fourth Proportional to 11,614.56, 17,416.44 and 4,218.72

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Solution

The fourth proportional to 11,614.56, 17,416.44 and 4,218.72 is: 6,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.56 : 17,416.44 = 4,218.72 : x
  2. Step 2: Convert to fraction form
    11,614.56/17,416.44 = 4,218.72/x
  3. Step 3: Cross multiply
    11,614.56x = 17,416.44 × 4,218.72
  4. Step 4: Simplify right side
    11,614.56x = 73,475,083.76
  5. Step 5: Solve for x
    x = 73,475,083.76/11,614.56
  6. Step 6: Final answer
    x = 6,326.12

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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.