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Finding the Fourth Proportional to 26,047, 35,949.72 and 14,869

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Solution

The fourth proportional to 26,047, 35,949.72 and 14,869 is: 20,521.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,047 : 35,949.72 = 14,869 : x
  2. Step 2: Convert to fraction form
    26,047/35,949.72 = 14,869/x
  3. Step 3: Cross multiply
    26,047x = 35,949.72 × 14,869
  4. Step 4: Simplify right side
    26,047x = 534,536,386.68
  5. Step 5: Solve for x
    x = 534,536,386.68/26,047
  6. Step 6: Final answer
    x = 20,521.99

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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.