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Finding the Fourth Proportional to 16,696.52, 23,041.48 and 9,142.73

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Solution

The fourth proportional to 16,696.52, 23,041.48 and 9,142.73 is: 12,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.52 : 23,041.48 = 9,142.73 : x
  2. Step 2: Convert to fraction form
    16,696.52/23,041.48 = 9,142.73/x
  3. Step 3: Cross multiply
    16,696.52x = 23,041.48 × 9,142.73
  4. Step 4: Simplify right side
    16,696.52x = 210,662,030.44
  5. Step 5: Solve for x
    x = 210,662,030.44/16,696.52
  6. Step 6: Final answer
    x = 12,617.12

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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.