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Finding the Fourth Proportional to 13,599.48, 20,398.70 and 3,738.50

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Solution

The fourth proportional to 13,599.48, 20,398.70 and 3,738.50 is: 5,607.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,599.48 : 20,398.70 = 3,738.50 : x
  2. Step 2: Convert to fraction form
    13,599.48/20,398.70 = 3,738.50/x
  3. Step 3: Cross multiply
    13,599.48x = 20,398.70 × 3,738.50
  4. Step 4: Simplify right side
    13,599.48x = 76,260,539.95
  5. Step 5: Solve for x
    x = 76,260,539.95/13,599.48
  6. Step 6: Final answer
    x = 5,607.61

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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.