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Finding the Fourth Proportional to 26,746.84, 40,109.26 and 8,020.28

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Solution

The fourth proportional to 26,746.84, 40,109.26 and 8,020.28 is: 12,027.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,746.84 : 40,109.26 = 8,020.28 : x
  2. Step 2: Convert to fraction form
    26,746.84/40,109.26 = 8,020.28/x
  3. Step 3: Cross multiply
    26,746.84x = 40,109.26 × 8,020.28
  4. Step 4: Simplify right side
    26,746.84x = 321,687,495.79
  5. Step 5: Solve for x
    x = 321,687,495.79/26,746.84
  6. Step 6: Final answer
    x = 12,027.12

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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.