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Finding the Fourth Proportional to 26,594.10, 39,898.97 and 7,874.64

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Solution

The fourth proportional to 26,594.10, 39,898.97 and 7,874.64 is: 11,814.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,594.10 : 39,898.97 = 7,874.64 : x
  2. Step 2: Convert to fraction form
    26,594.10/39,898.97 = 7,874.64/x
  3. Step 3: Cross multiply
    26,594.10x = 39,898.97 × 7,874.64
  4. Step 4: Simplify right side
    26,594.10x = 314,190,025.12
  5. Step 5: Solve for x
    x = 314,190,025.12/26,594.10
  6. Step 6: Final answer
    x = 11,814.28

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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.