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Finding the Fourth Proportional to 13,025.16, 19,538.82 and 7,185.78

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Solution

The fourth proportional to 13,025.16, 19,538.82 and 7,185.78 is: 10,779.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.16 : 19,538.82 = 7,185.78 : x
  2. Step 2: Convert to fraction form
    13,025.16/19,538.82 = 7,185.78/x
  3. Step 3: Cross multiply
    13,025.16x = 19,538.82 × 7,185.78
  4. Step 4: Simplify right side
    13,025.16x = 140,401,661.98
  5. Step 5: Solve for x
    x = 140,401,661.98/13,025.16
  6. Step 6: Final answer
    x = 10,779.27

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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.