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Finding the Fourth Proportional to 26,033.58, 35,926.29 and 14,097

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Solution

The fourth proportional to 26,033.58, 35,926.29 and 14,097 is: 19,453.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,033.58 : 35,926.29 = 14,097 : x
  2. Step 2: Convert to fraction form
    26,033.58/35,926.29 = 14,097/x
  3. Step 3: Cross multiply
    26,033.58x = 35,926.29 × 14,097
  4. Step 4: Simplify right side
    26,033.58x = 506,452,910.13
  5. Step 5: Solve for x
    x = 506,452,910.13/26,033.58
  6. Step 6: Final answer
    x = 19,453.83

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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.