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Finding the Fourth Proportional to 12,928.68, 19,391.40 and 4,164.12

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Solution

The fourth proportional to 12,928.68, 19,391.40 and 4,164.12 is: 6,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.68 : 19,391.40 = 4,164.12 : x
  2. Step 2: Convert to fraction form
    12,928.68/19,391.40 = 4,164.12/x
  3. Step 3: Cross multiply
    12,928.68x = 19,391.40 × 4,164.12
  4. Step 4: Simplify right side
    12,928.68x = 80,748,116.57
  5. Step 5: Solve for x
    x = 80,748,116.57/12,928.68
  6. Step 6: Final answer
    x = 6,245.66

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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.