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Finding the Fourth Proportional to 13,189.76, 19,778.88 and 4,976

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Solution

The fourth proportional to 13,189.76, 19,778.88 and 4,976 is: 7,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.76 : 19,778.88 = 4,976 : x
  2. Step 2: Convert to fraction form
    13,189.76/19,778.88 = 4,976/x
  3. Step 3: Cross multiply
    13,189.76x = 19,778.88 × 4,976
  4. Step 4: Simplify right side
    13,189.76x = 98,419,706.88
  5. Step 5: Solve for x
    x = 98,419,706.88/13,189.76
  6. Step 6: Final answer
    x = 7,461.83

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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.