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Finding the Fourth Proportional to 14,996.71, 20,687.29 and 9,024.78

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Solution

The fourth proportional to 14,996.71, 20,687.29 and 9,024.78 is: 12,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,996.71 : 20,687.29 = 9,024.78 : x
  2. Step 2: Convert to fraction form
    14,996.71/20,687.29 = 9,024.78/x
  3. Step 3: Cross multiply
    14,996.71x = 20,687.29 × 9,024.78
  4. Step 4: Simplify right side
    14,996.71x = 186,698,241.05
  5. Step 5: Solve for x
    x = 186,698,241.05/14,996.71
  6. Step 6: Final answer
    x = 12,449.28

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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.