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Finding the Fourth Proportional to 26,977.60, 40,466.40 and 8,509.60

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Solution

The fourth proportional to 26,977.60, 40,466.40 and 8,509.60 is: 12,764.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,977.60 : 40,466.40 = 8,509.60 : x
  2. Step 2: Convert to fraction form
    26,977.60/40,466.40 = 8,509.60/x
  3. Step 3: Cross multiply
    26,977.60x = 40,466.40 × 8,509.60
  4. Step 4: Simplify right side
    26,977.60x = 344,352,877.44
  5. Step 5: Solve for x
    x = 344,352,877.44/26,977.60
  6. Step 6: Final answer
    x = 12,764.40

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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.