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Finding the Fourth Proportional to 13,025.36, 19,538.93 and 5,234.17

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Solution

The fourth proportional to 13,025.36, 19,538.93 and 5,234.17 is: 7,851.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.36 : 19,538.93 = 5,234.17 : x
  2. Step 2: Convert to fraction form
    13,025.36/19,538.93 = 5,234.17/x
  3. Step 3: Cross multiply
    13,025.36x = 19,538.93 × 5,234.17
  4. Step 4: Simplify right side
    13,025.36x = 102,270,045.48
  5. Step 5: Solve for x
    x = 102,270,045.48/13,025.36
  6. Step 6: Final answer
    x = 7,851.61

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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.