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Finding the Fourth Proportional to 14,824.63, 20,463.21 and 9,163.72

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Solution

The fourth proportional to 14,824.63, 20,463.21 and 9,163.72 is: 12,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,824.63 : 20,463.21 = 9,163.72 : x
  2. Step 2: Convert to fraction form
    14,824.63/20,463.21 = 9,163.72/x
  3. Step 3: Cross multiply
    14,824.63x = 20,463.21 × 9,163.72
  4. Step 4: Simplify right side
    14,824.63x = 187,519,126.74
  5. Step 5: Solve for x
    x = 187,519,126.74/14,824.63
  6. Step 6: Final answer
    x = 12,649.16

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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.