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Finding the Fourth Proportional to 12,752.60, 19,143.30 and 9,843.80

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Solution

The fourth proportional to 12,752.60, 19,143.30 and 9,843.80 is: 14,776.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,752.60 : 19,143.30 = 9,843.80 : x
  2. Step 2: Convert to fraction form
    12,752.60/19,143.30 = 9,843.80/x
  3. Step 3: Cross multiply
    12,752.60x = 19,143.30 × 9,843.80
  4. Step 4: Simplify right side
    12,752.60x = 188,442,816.54
  5. Step 5: Solve for x
    x = 188,442,816.54/12,752.60
  6. Step 6: Final answer
    x = 14,776.82

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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.