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Finding the Fourth Proportional to 12,841.60, 19,262.40 and 3,606.40

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Solution

The fourth proportional to 12,841.60, 19,262.40 and 3,606.40 is: 5,409.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.60 : 19,262.40 = 3,606.40 : x
  2. Step 2: Convert to fraction form
    12,841.60/19,262.40 = 3,606.40/x
  3. Step 3: Cross multiply
    12,841.60x = 19,262.40 × 3,606.40
  4. Step 4: Simplify right side
    12,841.60x = 69,467,919.36
  5. Step 5: Solve for x
    x = 69,467,919.36/12,841.60
  6. Step 6: Final answer
    x = 5,409.60

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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.