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Finding the Fourth Proportional to 12,582.12, 18,874.14 and 3,347.88

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Solution

The fourth proportional to 12,582.12, 18,874.14 and 3,347.88 is: 5,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,582.12 : 18,874.14 = 3,347.88 : x
  2. Step 2: Convert to fraction form
    12,582.12/18,874.14 = 3,347.88/x
  3. Step 3: Cross multiply
    12,582.12x = 18,874.14 × 3,347.88
  4. Step 4: Simplify right side
    12,582.12x = 63,188,355.82
  5. Step 5: Solve for x
    x = 63,188,355.82/12,582.12
  6. Step 6: Final answer
    x = 5,022.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.