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Finding the Fourth Proportional to 14,414.16, 19,896.66 and 8,749.02

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Solution

The fourth proportional to 14,414.16, 19,896.66 and 8,749.02 is: 12,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,414.16 : 19,896.66 = 8,749.02 : x
  2. Step 2: Convert to fraction form
    14,414.16/19,896.66 = 8,749.02/x
  3. Step 3: Cross multiply
    14,414.16x = 19,896.66 × 8,749.02
  4. Step 4: Simplify right side
    14,414.16x = 174,076,276.27
  5. Step 5: Solve for x
    x = 174,076,276.27/14,414.16
  6. Step 6: Final answer
    x = 12,076.75

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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.