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Finding the Fourth Proportional to 26,970.80, 40,456.20 and 9,442.40

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Solution

The fourth proportional to 26,970.80, 40,456.20 and 9,442.40 is: 14,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,970.80 : 40,456.20 = 9,442.40 : x
  2. Step 2: Convert to fraction form
    26,970.80/40,456.20 = 9,442.40/x
  3. Step 3: Cross multiply
    26,970.80x = 40,456.20 × 9,442.40
  4. Step 4: Simplify right side
    26,970.80x = 382,003,622.88
  5. Step 5: Solve for x
    x = 382,003,622.88/26,970.80
  6. Step 6: Final answer
    x = 14,163.60

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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.