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Finding the Fourth Proportional to 16,827.86, 23,222.32 and 9,274.19

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Solution

The fourth proportional to 16,827.86, 23,222.32 and 9,274.19 is: 12,798.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,827.86 : 23,222.32 = 9,274.19 : x
  2. Step 2: Convert to fraction form
    16,827.86/23,222.32 = 9,274.19/x
  3. Step 3: Cross multiply
    16,827.86x = 23,222.32 × 9,274.19
  4. Step 4: Simplify right side
    16,827.86x = 215,368,149.87
  5. Step 5: Solve for x
    x = 215,368,149.87/16,827.86
  6. Step 6: Final answer
    x = 12,798.31

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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.