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Finding the Fourth Proportional to 13,174.68, 19,759.84 and 6,155.42

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Solution

The fourth proportional to 13,174.68, 19,759.84 and 6,155.42 is: 9,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,174.68 : 19,759.84 = 6,155.42 : x
  2. Step 2: Convert to fraction form
    13,174.68/19,759.84 = 6,155.42/x
  3. Step 3: Cross multiply
    13,174.68x = 19,759.84 × 6,155.42
  4. Step 4: Simplify right side
    13,174.68x = 121,630,114.33
  5. Step 5: Solve for x
    x = 121,630,114.33/13,174.68
  6. Step 6: Final answer
    x = 9,232.11

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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.