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Finding the Fourth Proportional to 13,025.61, 19,539.31 and 5,234.42

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Solution

The fourth proportional to 13,025.61, 19,539.31 and 5,234.42 is: 7,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.61 : 19,539.31 = 5,234.42 : x
  2. Step 2: Convert to fraction form
    13,025.61/19,539.31 = 5,234.42/x
  3. Step 3: Cross multiply
    13,025.61x = 19,539.31 × 5,234.42
  4. Step 4: Simplify right side
    13,025.61x = 102,276,955.05
  5. Step 5: Solve for x
    x = 102,276,955.05/13,025.61
  6. Step 6: Final answer
    x = 7,851.99

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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.