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Finding the Fourth Proportional to 16,696.54, 23,041.48 and 9,142.74

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Solution

The fourth proportional to 16,696.54, 23,041.48 and 9,142.74 is: 12,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.54 : 23,041.48 = 9,142.74 : x
  2. Step 2: Convert to fraction form
    16,696.54/23,041.48 = 9,142.74/x
  3. Step 3: Cross multiply
    16,696.54x = 23,041.48 × 9,142.74
  4. Step 4: Simplify right side
    16,696.54x = 210,662,260.86
  5. Step 5: Solve for x
    x = 210,662,260.86/16,696.54
  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.