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Finding the Fourth Proportional to 26,205.76, 36,164.82 and 14,268.52

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Solution

The fourth proportional to 26,205.76, 36,164.82 and 14,268.52 is: 19,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.76 : 36,164.82 = 14,268.52 : x
  2. Step 2: Convert to fraction form
    26,205.76/36,164.82 = 14,268.52/x
  3. Step 3: Cross multiply
    26,205.76x = 36,164.82 × 14,268.52
  4. Step 4: Simplify right side
    26,205.76x = 516,018,457.47
  5. Step 5: Solve for x
    x = 516,018,457.47/26,205.76
  6. Step 6: Final answer
    x = 19,691.03

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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.