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Finding the Fourth Proportional to 13,471.62, 18,590.11 and 7,421.66

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Solution

The fourth proportional to 13,471.62, 18,590.11 and 7,421.66 is: 10,241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.62 : 18,590.11 = 7,421.66 : x
  2. Step 2: Convert to fraction form
    13,471.62/18,590.11 = 7,421.66/x
  3. Step 3: Cross multiply
    13,471.62x = 18,590.11 × 7,421.66
  4. Step 4: Simplify right side
    13,471.62x = 137,969,475.78
  5. Step 5: Solve for x
    x = 137,969,475.78/13,471.62
  6. Step 6: Final answer
    x = 10,241.49

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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.