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Finding the Fourth Proportional to 12,801.83, 17,674.70 and 12,180.35

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Solution

The fourth proportional to 12,801.83, 17,674.70 and 12,180.35 is: 16,816.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,801.83 : 17,674.70 = 12,180.35 : x
  2. Step 2: Convert to fraction form
    12,801.83/17,674.70 = 12,180.35/x
  3. Step 3: Cross multiply
    12,801.83x = 17,674.70 × 12,180.35
  4. Step 4: Simplify right side
    12,801.83x = 215,284,032.15
  5. Step 5: Solve for x
    x = 215,284,032.15/12,801.83
  6. Step 6: Final answer
    x = 16,816.66

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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.