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Finding the Fourth Proportional to 14,459.86, 19,944.21 and 9,414.73

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Solution

The fourth proportional to 14,459.86, 19,944.21 and 9,414.73 is: 12,985.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.86 : 19,944.21 = 9,414.73 : x
  2. Step 2: Convert to fraction form
    14,459.86/19,944.21 = 9,414.73/x
  3. Step 3: Cross multiply
    14,459.86x = 19,944.21 × 9,414.73
  4. Step 4: Simplify right side
    14,459.86x = 187,769,352.21
  5. Step 5: Solve for x
    x = 187,769,352.21/14,459.86
  6. Step 6: Final answer
    x = 12,985.56

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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.