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Finding the Fourth Proportional to 13,077.80, 19,605.60 and 5,676.68

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Solution

The fourth proportional to 13,077.80, 19,605.60 and 5,676.68 is: 8,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,077.80 : 19,605.60 = 5,676.68 : x
  2. Step 2: Convert to fraction form
    13,077.80/19,605.60 = 5,676.68/x
  3. Step 3: Cross multiply
    13,077.80x = 19,605.60 × 5,676.68
  4. Step 4: Simplify right side
    13,077.80x = 111,294,717.41
  5. Step 5: Solve for x
    x = 111,294,717.41/13,077.80
  6. Step 6: Final answer
    x = 8,510.20

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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.