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Finding the Fourth Proportional to 13,765.94, 20,654.58 and 7,196.84

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Solution

The fourth proportional to 13,765.94, 20,654.58 and 7,196.84 is: 10,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.94 : 20,654.58 = 7,196.84 : x
  2. Step 2: Convert to fraction form
    13,765.94/20,654.58 = 7,196.84/x
  3. Step 3: Cross multiply
    13,765.94x = 20,654.58 × 7,196.84
  4. Step 4: Simplify right side
    13,765.94x = 148,647,707.53
  5. Step 5: Solve for x
    x = 148,647,707.53/13,765.94
  6. Step 6: Final answer
    x = 10,798.22

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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.