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Finding the Fourth Proportional to 16,713.63, 23,064.75 and 9,160.02

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Solution

The fourth proportional to 16,713.63, 23,064.75 and 9,160.02 is: 12,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,713.63 : 23,064.75 = 9,160.02 : x
  2. Step 2: Convert to fraction form
    16,713.63/23,064.75 = 9,160.02/x
  3. Step 3: Cross multiply
    16,713.63x = 23,064.75 × 9,160.02
  4. Step 4: Simplify right side
    16,713.63x = 211,273,571.30
  5. Step 5: Solve for x
    x = 211,273,571.30/16,713.63
  6. Step 6: Final answer
    x = 12,640.80

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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.