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Finding the Fourth Proportional to 26,074.54, 35,982.93 and 14,137.78

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Solution

The fourth proportional to 26,074.54, 35,982.93 and 14,137.78 is: 19,510.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,074.54 : 35,982.93 = 14,137.78 : x
  2. Step 2: Convert to fraction form
    26,074.54/35,982.93 = 14,137.78/x
  3. Step 3: Cross multiply
    26,074.54x = 35,982.93 × 14,137.78
  4. Step 4: Simplify right side
    26,074.54x = 508,718,748.10
  5. Step 5: Solve for x
    x = 508,718,748.10/26,074.54
  6. Step 6: Final answer
    x = 19,510.17

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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.