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Finding the Fourth Proportional to 14,921.82, 20,592.62 and 8,207.94

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Solution

The fourth proportional to 14,921.82, 20,592.62 and 8,207.94 is: 11,327.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,921.82 : 20,592.62 = 8,207.94 : x
  2. Step 2: Convert to fraction form
    14,921.82/20,592.62 = 8,207.94/x
  3. Step 3: Cross multiply
    14,921.82x = 20,592.62 × 8,207.94
  4. Step 4: Simplify right side
    14,921.82x = 169,022,989.40
  5. Step 5: Solve for x
    x = 169,022,989.40/14,921.82
  6. Step 6: Final answer
    x = 11,327.24

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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.