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Finding the Fourth Proportional to 12,180.80, 16,810.11 and 7,400.78

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Solution

The fourth proportional to 12,180.80, 16,810.11 and 7,400.78 is: 10,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.80 : 16,810.11 = 7,400.78 : x
  2. Step 2: Convert to fraction form
    12,180.80/16,810.11 = 7,400.78/x
  3. Step 3: Cross multiply
    12,180.80x = 16,810.11 × 7,400.78
  4. Step 4: Simplify right side
    12,180.80x = 124,407,925.89
  5. Step 5: Solve for x
    x = 124,407,925.89/12,180.80
  6. Step 6: Final answer
    x = 10,213.44

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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.