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Finding the Fourth Proportional to 26,856.80, 40,285.20 and 14,415.20

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Solution

The fourth proportional to 26,856.80, 40,285.20 and 14,415.20 is: 21,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856.80 : 40,285.20 = 14,415.20 : x
  2. Step 2: Convert to fraction form
    26,856.80/40,285.20 = 14,415.20/x
  3. Step 3: Cross multiply
    26,856.80x = 40,285.20 × 14,415.20
  4. Step 4: Simplify right side
    26,856.80x = 580,719,215.04
  5. Step 5: Solve for x
    x = 580,719,215.04/26,856.80
  6. Step 6: Final answer
    x = 21,622.80

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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.