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Finding the Fourth Proportional to 13,219.76, 19,824 and 6,975.84

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Solution

The fourth proportional to 13,219.76, 19,824 and 6,975.84 is: 10,460.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.76 : 19,824 = 6,975.84 : x
  2. Step 2: Convert to fraction form
    13,219.76/19,824 = 6,975.84/x
  3. Step 3: Cross multiply
    13,219.76x = 19,824 × 6,975.84
  4. Step 4: Simplify right side
    13,219.76x = 138,289,052.16
  5. Step 5: Solve for x
    x = 138,289,052.16/13,219.76
  6. Step 6: Final answer
    x = 10,460.78

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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.