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Finding the Fourth Proportional to 12,967.20, 19,465.20 and 8,042.40

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Solution

The fourth proportional to 12,967.20, 19,465.20 and 8,042.40 is: 12,072.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967.20 : 19,465.20 = 8,042.40 : x
  2. Step 2: Convert to fraction form
    12,967.20/19,465.20 = 8,042.40/x
  3. Step 3: Cross multiply
    12,967.20x = 19,465.20 × 8,042.40
  4. Step 4: Simplify right side
    12,967.20x = 156,546,924.48
  5. Step 5: Solve for x
    x = 156,546,924.48/12,967.20
  6. Step 6: Final answer
    x = 12,072.53

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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.