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Finding the Fourth Proportional to 12,877.60, 19,323.60 and 5,480.80

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Solution

The fourth proportional to 12,877.60, 19,323.60 and 5,480.80 is: 8,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,877.60 : 19,323.60 = 5,480.80 : x
  2. Step 2: Convert to fraction form
    12,877.60/19,323.60 = 5,480.80/x
  3. Step 3: Cross multiply
    12,877.60x = 19,323.60 × 5,480.80
  4. Step 4: Simplify right side
    12,877.60x = 105,908,786.88
  5. Step 5: Solve for x
    x = 105,908,786.88/12,877.60
  6. Step 6: Final answer
    x = 8,224.26

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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.