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Finding the Fourth Proportional to 26,539.80, 36,618.30 and 17,097

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Solution

The fourth proportional to 26,539.80, 36,618.30 and 17,097 is: 23,589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,539.80 : 36,618.30 = 17,097 : x
  2. Step 2: Convert to fraction form
    26,539.80/36,618.30 = 17,097/x
  3. Step 3: Cross multiply
    26,539.80x = 36,618.30 × 17,097
  4. Step 4: Simplify right side
    26,539.80x = 626,063,075.10
  5. Step 5: Solve for x
    x = 626,063,075.10/26,539.80
  6. Step 6: Final answer
    x = 23,589.59

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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.