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Finding the Fourth Proportional to 13,219.60, 19,801.76 and 7,937.84

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Solution

The fourth proportional to 13,219.60, 19,801.76 and 7,937.84 is: 11,890.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.60 : 19,801.76 = 7,937.84 : x
  2. Step 2: Convert to fraction form
    13,219.60/19,801.76 = 7,937.84/x
  3. Step 3: Cross multiply
    13,219.60x = 19,801.76 × 7,937.84
  4. Step 4: Simplify right side
    13,219.60x = 157,183,202.60
  5. Step 5: Solve for x
    x = 157,183,202.60/13,219.60
  6. Step 6: Final answer
    x = 11,890.16

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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.