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Finding the Fourth Proportional to 26,057.46, 35,959.42 and 14,120.78

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Solution

The fourth proportional to 26,057.46, 35,959.42 and 14,120.78 is: 19,486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,057.46 : 35,959.42 = 14,120.78 : x
  2. Step 2: Convert to fraction form
    26,057.46/35,959.42 = 14,120.78/x
  3. Step 3: Cross multiply
    26,057.46x = 35,959.42 × 14,120.78
  4. Step 4: Simplify right side
    26,057.46x = 507,775,058.75
  5. Step 5: Solve for x
    x = 507,775,058.75/26,057.46
  6. Step 6: Final answer
    x = 19,486.74

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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.