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Finding the Fourth Proportional to 11,614.59, 17,394.21 and 6,341.70

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Solution

The fourth proportional to 11,614.59, 17,394.21 and 6,341.70 is: 9,497.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.59 : 17,394.21 = 6,341.70 : x
  2. Step 2: Convert to fraction form
    11,614.59/17,394.21 = 6,341.70/x
  3. Step 3: Cross multiply
    11,614.59x = 17,394.21 × 6,341.70
  4. Step 4: Simplify right side
    11,614.59x = 110,308,861.56
  5. Step 5: Solve for x
    x = 110,308,861.56/11,614.59
  6. Step 6: Final answer
    x = 9,497.44

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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.