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Finding the Fourth Proportional to 13,077.60, 19,617.60 and 5,284.80

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Solution

The fourth proportional to 13,077.60, 19,617.60 and 5,284.80 is: 7,927.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.60 : 19,617.60 = 5,284.80 : x
  2. Step 2: Convert to fraction form
    13,077.60/19,617.60 = 5,284.80/x
  3. Step 3: Cross multiply
    13,077.60x = 19,617.60 × 5,284.80
  4. Step 4: Simplify right side
    13,077.60x = 103,675,092.48
  5. Step 5: Solve for x
    x = 103,675,092.48/13,077.60
  6. Step 6: Final answer
    x = 7,927.68

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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.