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Finding the Fourth Proportional to 12,959.20, 19,433.92 and 4,191.76

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Solution

The fourth proportional to 12,959.20, 19,433.92 and 4,191.76 is: 6,286.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.20 : 19,433.92 = 4,191.76 : x
  2. Step 2: Convert to fraction form
    12,959.20/19,433.92 = 4,191.76/x
  3. Step 3: Cross multiply
    12,959.20x = 19,433.92 × 4,191.76
  4. Step 4: Simplify right side
    12,959.20x = 81,462,328.50
  5. Step 5: Solve for x
    x = 81,462,328.50/12,959.20
  6. Step 6: Final answer
    x = 6,286.06

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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.