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Finding the Fourth Proportional to 26,074.50, 35,982.57 and 14,746.20

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Solution

The fourth proportional to 26,074.50, 35,982.57 and 14,746.20 is: 20,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074.50 : 35,982.57 = 14,746.20 : x
  2. Step 2: Convert to fraction form
    26,074.50/35,982.57 = 14,746.20/x
  3. Step 3: Cross multiply
    26,074.50x = 35,982.57 × 14,746.20
  4. Step 4: Simplify right side
    26,074.50x = 530,606,173.73
  5. Step 5: Solve for x
    x = 530,606,173.73/26,074.50
  6. Step 6: Final answer
    x = 20,349.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.