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Finding the Fourth Proportional to 16,816.84, 23,207.34 and 9,364.84

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Solution

The fourth proportional to 16,816.84, 23,207.34 and 9,364.84 is: 12,923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.84 : 23,207.34 = 9,364.84 : x
  2. Step 2: Convert to fraction form
    16,816.84/23,207.34 = 9,364.84/x
  3. Step 3: Cross multiply
    16,816.84x = 23,207.34 × 9,364.84
  4. Step 4: Simplify right side
    16,816.84x = 217,333,025.93
  5. Step 5: Solve for x
    x = 217,333,025.93/16,816.84
  6. Step 6: Final answer
    x = 12,923.54

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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.