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Finding the Fourth Proportional to 12,833.60, 19,257.60 and 5,436.80

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Solution

The fourth proportional to 12,833.60, 19,257.60 and 5,436.80 is: 8,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.60 : 19,257.60 = 5,436.80 : x
  2. Step 2: Convert to fraction form
    12,833.60/19,257.60 = 5,436.80/x
  3. Step 3: Cross multiply
    12,833.60x = 19,257.60 × 5,436.80
  4. Step 4: Simplify right side
    12,833.60x = 104,699,719.68
  5. Step 5: Solve for x
    x = 104,699,719.68/12,833.60
  6. Step 6: Final answer
    x = 8,158.25

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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.