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Finding the Fourth Proportional to 12,539.84, 18,822 and 5,970.56

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Solution

The fourth proportional to 12,539.84, 18,822 and 5,970.56 is: 8,961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,539.84 : 18,822 = 5,970.56 : x
  2. Step 2: Convert to fraction form
    12,539.84/18,822 = 5,970.56/x
  3. Step 3: Cross multiply
    12,539.84x = 18,822 × 5,970.56
  4. Step 4: Simplify right side
    12,539.84x = 112,377,880.32
  5. Step 5: Solve for x
    x = 112,377,880.32/12,539.84
  6. Step 6: Final answer
    x = 8,961.67

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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.