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Finding the Fourth Proportional to 26,029.30, 35,920 and 14,092.54

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Solution

The fourth proportional to 26,029.30, 35,920 and 14,092.54 is: 19,447.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,029.30 : 35,920 = 14,092.54 : x
  2. Step 2: Convert to fraction form
    26,029.30/35,920 = 14,092.54/x
  3. Step 3: Cross multiply
    26,029.30x = 35,920 × 14,092.54
  4. Step 4: Simplify right side
    26,029.30x = 506,204,036.80
  5. Step 5: Solve for x
    x = 506,204,036.80/26,029.30
  6. Step 6: Final answer
    x = 19,447.47

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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.