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Finding the Fourth Proportional to 26,014.77, 35,900.38 and 14,078.11

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Solution

The fourth proportional to 26,014.77, 35,900.38 and 14,078.11 is: 19,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,014.77 : 35,900.38 = 14,078.11 : x
  2. Step 2: Convert to fraction form
    26,014.77/35,900.38 = 14,078.11/x
  3. Step 3: Cross multiply
    26,014.77x = 35,900.38 × 14,078.11
  4. Step 4: Simplify right side
    26,014.77x = 505,409,319.18
  5. Step 5: Solve for x
    x = 505,409,319.18/26,014.77
  6. Step 6: Final answer
    x = 19,427.78

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Why These Related Problems?

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