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Finding the Fourth Proportional to 12,843.18, 19,267.50 and 4,078.68

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Solution

The fourth proportional to 12,843.18, 19,267.50 and 4,078.68 is: 6,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.18 : 19,267.50 = 4,078.68 : x
  2. Step 2: Convert to fraction form
    12,843.18/19,267.50 = 4,078.68/x
  3. Step 3: Cross multiply
    12,843.18x = 19,267.50 × 4,078.68
  4. Step 4: Simplify right side
    12,843.18x = 78,585,966.90
  5. Step 5: Solve for x
    x = 78,585,966.90/12,843.18
  6. Step 6: Final answer
    x = 6,118.89

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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.