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Finding the Fourth Proportional to 13,013.50, 19,520.80 and 3,779.50

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Solution

The fourth proportional to 13,013.50, 19,520.80 and 3,779.50 is: 5,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,013.50 : 19,520.80 = 3,779.50 : x
  2. Step 2: Convert to fraction form
    13,013.50/19,520.80 = 3,779.50/x
  3. Step 3: Cross multiply
    13,013.50x = 19,520.80 × 3,779.50
  4. Step 4: Simplify right side
    13,013.50x = 73,778,863.60
  5. Step 5: Solve for x
    x = 73,778,863.60/13,013.50
  6. Step 6: Final answer
    x = 5,669.41

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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.