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Finding the Fourth Proportional to 16,884.86, 23,302.50 and 9,332.66

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Solution

The fourth proportional to 16,884.86, 23,302.50 and 9,332.66 is: 12,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,884.86 : 23,302.50 = 9,332.66 : x
  2. Step 2: Convert to fraction form
    16,884.86/23,302.50 = 9,332.66/x
  3. Step 3: Cross multiply
    16,884.86x = 23,302.50 × 9,332.66
  4. Step 4: Simplify right side
    16,884.86x = 217,474,309.65
  5. Step 5: Solve for x
    x = 217,474,309.65/16,884.86
  6. Step 6: Final answer
    x = 12,879.84

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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.