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Finding the Fourth Proportional to 12,853.60, 19,287.60 and 5,456.80

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Solution

The fourth proportional to 12,853.60, 19,287.60 and 5,456.80 is: 8,188.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.60 : 19,287.60 = 5,456.80 : x
  2. Step 2: Convert to fraction form
    12,853.60/19,287.60 = 5,456.80/x
  3. Step 3: Cross multiply
    12,853.60x = 19,287.60 × 5,456.80
  4. Step 4: Simplify right side
    12,853.60x = 105,248,575.68
  5. Step 5: Solve for x
    x = 105,248,575.68/12,853.60
  6. Step 6: Final answer
    x = 8,188.26

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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.