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Finding the Fourth Proportional to 26,856.24, 40,223.02 and 12,826.14

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Solution

The fourth proportional to 26,856.24, 40,223.02 and 12,826.14 is: 19,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,856.24 : 40,223.02 = 12,826.14 : x
  2. Step 2: Convert to fraction form
    26,856.24/40,223.02 = 12,826.14/x
  3. Step 3: Cross multiply
    26,856.24x = 40,223.02 × 12,826.14
  4. Step 4: Simplify right side
    26,856.24x = 515,906,085.74
  5. Step 5: Solve for x
    x = 515,906,085.74/26,856.24
  6. Step 6: Final answer
    x = 19,209.91

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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.