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Finding the Fourth Proportional to 16,696.68, 23,041.67 and 9,142.86

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Solution

The fourth proportional to 16,696.68, 23,041.67 and 9,142.86 is: 12,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.68 : 23,041.67 = 9,142.86 : x
  2. Step 2: Convert to fraction form
    16,696.68/23,041.67 = 9,142.86/x
  3. Step 3: Cross multiply
    16,696.68x = 23,041.67 × 9,142.86
  4. Step 4: Simplify right side
    16,696.68x = 210,666,762.98
  5. Step 5: Solve for x
    x = 210,666,762.98/16,696.68
  6. Step 6: Final answer
    x = 12,617.28

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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.