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Finding the Fourth Proportional to 26,142.29, 36,076.44 and 14,205.68

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Solution

The fourth proportional to 26,142.29, 36,076.44 and 14,205.68 is: 19,603.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,142.29 : 36,076.44 = 14,205.68 : x
  2. Step 2: Convert to fraction form
    26,142.29/36,076.44 = 14,205.68/x
  3. Step 3: Cross multiply
    26,142.29x = 36,076.44 × 14,205.68
  4. Step 4: Simplify right side
    26,142.29x = 512,490,290.45
  5. Step 5: Solve for x
    x = 512,490,290.45/26,142.29
  6. Step 6: Final answer
    x = 19,603.88

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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.