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Finding the Fourth Proportional to 12,180.76, 16,808.64 and 6,874.84

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Solution

The fourth proportional to 12,180.76, 16,808.64 and 6,874.84 is: 9,486.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.76 : 16,808.64 = 6,874.84 : x
  2. Step 2: Convert to fraction form
    12,180.76/16,808.64 = 6,874.84/x
  3. Step 3: Cross multiply
    12,180.76x = 16,808.64 × 6,874.84
  4. Step 4: Simplify right side
    12,180.76x = 115,556,710.62
  5. Step 5: Solve for x
    x = 115,556,710.62/12,180.76
  6. Step 6: Final answer
    x = 9,486.82

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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.