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Finding the Fourth Proportional to 12,928.80, 19,393.18 and 4,165

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Solution

The fourth proportional to 12,928.80, 19,393.18 and 4,165 is: 6,247.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.80 : 19,393.18 = 4,165 : x
  2. Step 2: Convert to fraction form
    12,928.80/19,393.18 = 4,165/x
  3. Step 3: Cross multiply
    12,928.80x = 19,393.18 × 4,165
  4. Step 4: Simplify right side
    12,928.80x = 80,772,594.70
  5. Step 5: Solve for x
    x = 80,772,594.70/12,928.80
  6. Step 6: Final answer
    x = 6,247.49

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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.