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Finding the Fourth Proportional to 26,385.60, 39,576.24 and 7,917.60

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Solution

The fourth proportional to 26,385.60, 39,576.24 and 7,917.60 is: 11,875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,385.60 : 39,576.24 = 7,917.60 : x
  2. Step 2: Convert to fraction form
    26,385.60/39,576.24 = 7,917.60/x
  3. Step 3: Cross multiply
    26,385.60x = 39,576.24 × 7,917.60
  4. Step 4: Simplify right side
    26,385.60x = 313,348,837.82
  5. Step 5: Solve for x
    x = 313,348,837.82/26,385.60
  6. Step 6: Final answer
    x = 11,875.75

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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.